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22344430212 = 223213271176179
BaseRepresentation
bin10100110011110101…
…001111001010000100
32010200012222122220100
4110303311033022010
5331230133231322
614133114404100
71420500344256
oct246365171204
963605878810
1022344430212
119526937155
1243b7130630
132151307c50
14111d7dbcd6
158ab9b6dac
hex533d4f284

22344430212 has 72 divisors (see below), whose sum is σ = 61051303040. Its totient is φ = 6849800640.

The previous prime is 22344430211. The next prime is 22344430237. The reversal of 22344430212 is 21203444322.

22344430212 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 443 + 0 + 212 = 666.

It is a super-2 number, since 2×223444302122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22344430211) by changing a digit.

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, 38739 + ... + 214917.

Almost surely, 222344430212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22344430212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30525651520).

22344430212 is an abundant number, since it is smaller than the sum of its proper divisors (38706872828).

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

22344430212 is a wasteful number, since it uses less digits than its factorization.

22344430212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176473 (or 176468 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22344430212 its reverse (21203444322), we get a palindrome (43547874534).

The spelling of 22344430212 in words is "twenty-two billion, three hundred forty-four million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 271 468 542 813 1084 1626 2439 3252 3523 4878 7046 9756 10569 14092 21138 31707 42276 63414 126828 176179 352358 528537 704716 1057074 1585611 2114148 2290327 3171222 4580654 6342444 6870981 9161308 13741962 20612943 27483924 41225886 47744509 82451772 95489018 143233527 190978036 286467054 429700581 572934108 620678617 859401162 1241357234 1718802324 1862035851 2482714468 3724071702 5586107553 7448143404 11172215106 22344430212