Search a number
-
+
22210300300 = 22523110766959
BaseRepresentation
bin10100101011110101…
…100100100110001100
32010022212121011020211
4110223311210212030
5330441314102200
614111523452204
71414251303046
oct245365444614
963285534224
1022210300300
119468154391
12437a227064
13212c5a4736
141109a84a96
1589ed1eaba
hex52bd6498c

22210300300 has 72 divisors (see below), whose sum is σ = 50216785920. Its totient is φ = 8517057600.

The previous prime is 22210300271. The next prime is 22210300349. The reversal of 22210300300 is 300301222.

It is a happy number.

It is a super-3 number, since 3×222103003003 (a number of 32 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 298221 + ... + 365179.

It is an arithmetic number, because the mean of its divisors is an integer number (697455360).

Almost surely, 222210300300 is an apocalyptic number.

22210300300 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 22210300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108392960).

22210300300 is an abundant number, since it is smaller than the sum of its proper divisors (28006485620).

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

22210300300 is a wasteful number, since it uses less digits than its factorization.

22210300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67111 (or 67104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22210300300 its reverse (300301222), we get a palindrome (22510601522).

The spelling of 22210300300 in words is "twenty-two billion, two hundred ten million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 107 124 155 214 310 428 535 620 775 1070 1550 2140 2675 3100 3317 5350 6634 10700 13268 16585 33170 66340 66959 82925 133918 165850 267836 331700 334795 669590 1339180 1673975 2075729 3347950 4151458 6695900 7164613 8302916 10378645 14329226 20757290 28658452 35823065 41514580 51893225 71646130 103786450 143292260 179115325 207572900 222103003 358230650 444206006 716461300 888412012 1110515015 2221030030 4442060060 5552575075 11105150150 22210300300