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23422422432 = 2531415317239
BaseRepresentation
bin10101110100000101…
…011100110110100000
32020110100102100020010
4111310011130312200
5340432120004212
614432103444520
71456300206603
oct256405346640
966410370203
1023422422432
119a2a38a712
124658156740
132293751676
1411c2a4c33a
1592145203c
hex57415cda0

23422422432 has 48 divisors (see below), whose sum is σ = 61491769920. Its totient is φ = 7806469632.

The previous prime is 23422422427. The next prime is 23422422451.

23422422432 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23422422432.

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, 1350069 + ... + 1367307.

It is an arithmetic number, because the mean of its divisors is an integer number (1281078540).

Almost surely, 223422422432 is an apocalyptic number.

It is an amenable number.

23422422432 is an abundant number, since it is smaller than the sum of its proper divisors (38069347488).

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

23422422432 is a wasteful number, since it uses less digits than its factorization.

23422422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31405 (or 31397 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The spelling of 23422422432 in words is "twenty-three billion, four hundred twenty-two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14153 17239 28306 34478 42459 51717 56612 68956 84918 103434 113224 137912 169836 206868 226448 275824 339672 413736 452896 551648 679344 827472 1358688 1654944 243983567 487967134 731950701 975934268 1463901402 1951868536 2927802804 3903737072 5855605608 7807474144 11711211216 23422422432