Search a number
-
+
22314613152 = 2531317880299
BaseRepresentation
bin10100110010000011…
…011111100110100000
32010121010212210120210
4110302003133212200
5331200020110102
614130131334120
71416656040126
oct246203374640
963533783523
1022314613152
119511021157
1243a9151340
132148098310
141119879916
158a907736c
hex5320df9a0

22314613152 has 48 divisors (see below), whose sum is σ = 63081698400. Its totient is φ = 6866034432.

The previous prime is 22314613129. The next prime is 22314613169. The reversal of 22314613152 is 25131641322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×223146131523 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8938902 + ... + 8941397.

It is an arithmetic number, because the mean of its divisors is an integer number (1314202050).

Almost surely, 222314613152 is an apocalyptic number.

It is an amenable number.

22314613152 is an abundant number, since it is smaller than the sum of its proper divisors (40767085248).

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

22314613152 is a wasteful number, since it uses less digits than its factorization.

22314613152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880325 (or 17880317 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The spelling of 22314613152 in words is "twenty-two billion, three hundred fourteen million, six hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 17880299 35760598 53640897 71521196 107281794 143042392 214563588 232443887 286084784 429127176 464887774 572169568 697331661 858254352 929775548 1394663322 1716508704 1859551096 2789326644 3719102192 5578653288 7438204384 11157306576 22314613152