Search a number
-
+
1222422213210 = 2351173109465541
BaseRepresentation
bin10001110010011110000…
…010101011001001011010
311022212021201001120002120
4101302132002223021122
5130012010041310320
62333323434242110
7154213522241022
oct21623602531132
94285251046076
101222422213210
1143147651a810
12178ab6886336
138b373a57ba3
14432463b2a82
1521be8419440
hex11c9e0ab25a

1222422213210 has 128 divisors (see below), whose sum is σ = 3274138264320. Its totient is φ = 289603123200.

The previous prime is 1222422213191. The next prime is 1222422213293. The reversal of 1222422213210 is 123122242221.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2393040 + ... + 2858580.

It is an arithmetic number, because the mean of its divisors is an integer number (25579205190).

Almost surely, 21222422213210 is an apocalyptic number.

1222422213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222422213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637069132160).

1222422213210 is an abundant number, since it is smaller than the sum of its proper divisors (2051716051110).

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

1222422213210 is a wasteful number, since it uses less digits than its factorization.

1222422213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465744.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1222422213210 its reverse (123122242221), we get a palindrome (1345544455431).

The spelling of 1222422213210 in words is "one trillion, two hundred twenty-two billion, four hundred twenty-two million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 109 110 146 165 218 219 327 330 365 438 545 654 730 803 1090 1095 1199 1606 1635 2190 2398 2409 3270 3597 4015 4818 5995 7194 7957 8030 11990 12045 15914 17985 23871 24090 35970 39785 47742 79570 87527 119355 175054 238710 262581 437635 465541 525162 875270 931082 1312905 1396623 2327705 2625810 2793246 4655410 5120951 6983115 10241902 13966230 15362853 25604755 30725706 33984493 50743969 51209510 67968986 76814265 101487938 101953479 152231907 153628530 169922465 203906958 253719845 304463814 339844930 373829423 507439690 509767395 558183659 747658846 761159535 1019534790 1116367318 1121488269 1522319070 1674550977 1869147115 2242976538 2790918295 3349101954 3704309737 3738294230 5581836590 5607441345 7408619474 8372754885 11112929211 11214882690 16745509770 18521548685 22225858422 37043097370 40747407107 55564646055 81494814214 111129292110 122242221321 203737035535 244484442642 407474071070 611211106605 1222422213210