Search a number
-
+
221110021202220 = 2232535311251309293
BaseRepresentation
bin110010010001100100110000…
…010001010010000100101100
31001222212220121112211011001200
4302101210300101102010230
5212440131310411432340
62102132312542205500
764400446310023113
oct6221446021220454
91058786545734050
10221110021202220
11644a8262707987
122097072a883890
13964b77c54ca27
143c85ad422ac7a
151a868a4571330
hexc9193045212c

221110021202220 has 144 divisors (see below), whose sum is σ = 672662354992992. Its totient is φ = 58790223360000.

The previous prime is 221110021202209. The next prime is 221110021202237. The reversal of 221110021202220 is 22202120011122.

It is a happy number.

221110021202220 is a `hidden beast` number, since 2 + 211 + 10 + 0 + 21 + 202 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221110021202193 and 221110021202202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714733894 + ... + 715043186.

It is an arithmetic number, because the mean of its divisors is an integer number (4671266354118).

Almost surely, 2221110021202220 is an apocalyptic number.

221110021202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221110021202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336331177496496).

221110021202220 is an abundant number, since it is smaller than the sum of its proper divisors (451552333790772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221110021202220 is a wasteful number, since it uses less digits than its factorization.

221110021202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320912 (or 320907 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221110021202220 its reverse (22202120011122), we get a palindrome (243312141213342).

The spelling of 221110021202220 in words is "two hundred twenty-one trillion, one hundred ten billion, twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 11251 12708 15885 21180 22502 31770 33753 45004 56255 63540 67506 101259 112510 135012 168765 202518 225020 309293 337530 405036 506295 618586 675060 927879 1012590 1237172 1546465 1855758 2025180 2783637 3092930 3711516 3971603 4639395 5567274 6185860 7943206 9278790 11134548 11914809 13918185 15886412 18557580 19858015 23829618 27836370 35744427 39716030 47659236 55672740 59574045 71488854 79432060 109180429 119148090 142977708 178722135 218360858 238296180 327541287 357444270 436721716 545902145 655082574 714888540 982623861 1091804290 1310165148 1637706435 1965247722 2183608580 3275412870 3479855543 3930495444 4913119305 6550825740 6959711086 9826238610 10439566629 13919422172 17399277715 19652477220 20879133258 31318699887 34798555430 41758266516 52197833145 62637399774 69597110860 104395666290 125274799548 156593499435 208791332580 313186998870 626373997740 1228389006679 2456778013358 3685167020037 4913556026716 6141945033395 7370334040074 11055501060111 12283890066790 14740668080148 18425835100185 22111002120222 24567780133580 36851670200370 44222004240444 55277505300555 73703340400740 110555010601110 221110021202220