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22331131128 = 23321578292383
BaseRepresentation
bin10100110011000010…
…100000010011111000
32010122021221222222200
4110303002200103320
5331213232144003
614131521350200
71420246324365
oct246302402370
963567858880
1022331131128
11951a383379
1243b2798360
13214b62c877
14111bb3946c
158aa73b6a3
hex5330a04f8

22331131128 has 96 divisors (see below), whose sum is σ = 60964363200. Its totient is φ = 7384276224.

The previous prime is 22331131117. The next prime is 22331131241. The reversal of 22331131128 is 82113113322.

22331131128 is a `hidden beast` number, since 223 + 311 + 3 + 1 + 128 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9369825 + ... + 9372207.

It is an arithmetic number, because the mean of its divisors is an integer number (635045450).

Almost surely, 222331131128 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 22331131128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30482181600).

22331131128 is an abundant number, since it is smaller than the sum of its proper divisors (38633232072).

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

22331131128 is a wasteful number, since it uses less digits than its factorization.

22331131128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3374 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The spelling of 22331131128 in words is "twenty-two billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 829 942 1256 1413 1658 1884 2383 2487 2826 3316 3768 4766 4974 5652 6632 7149 7461 9532 9948 11304 14298 14922 19064 19896 21447 28596 29844 42894 57192 59688 85788 130153 171576 260306 374131 390459 520612 748262 780918 1041224 1122393 1171377 1496524 1561836 1975507 2244786 2342754 2993048 3123672 3367179 3951014 4489572 4685508 5926521 6734358 7902028 8979144 9371016 11853042 13468716 15804056 17779563 23706084 26937432 35559126 47412168 71118252 142236504 310154599 620309198 930463797 1240618396 1860927594 2481236792 2791391391 3721855188 5582782782 7443710376 11165565564 22331131128