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22834924128 = 2532194173049
BaseRepresentation
bin10101010001000100…
…010100101001100000
32011221101221100001200
4111101010110221200
5333231220033003
614253515401200
71435604436552
oct252104245140
964841840050
1022834924128
1197587a0525
124513453200
1321cbb12233
1411689db4d2
158d9aa36a3
hex551114a60

22834924128 has 72 divisors (see below), whose sum is σ = 68354559000. Its totient is φ = 7211026944.

The previous prime is 22834924111. The next prime is 22834924157. The reversal of 22834924128 is 82142943822.

22834924128 is a `hidden beast` number, since 22 + 83 + 492 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2081053 + ... + 2091996.

It is an arithmetic number, because the mean of its divisors is an integer number (949368875).

Almost surely, 222834924128 is an apocalyptic number.

It is an amenable number.

22834924128 is an abundant number, since it is smaller than the sum of its proper divisors (45519634872).

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

22834924128 is a wasteful number, since it uses less digits than its factorization.

22834924128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173084 (or 4173073 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 22834924128 in words is "twenty-two billion, eight hundred thirty-four million, nine hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 4173049 8346098 12519147 16692196 25038294 33384392 37557441 50076588 66768784 75114882 79287931 100153176 133537568 150229764 158575862 200306352 237863793 300459528 317151724 400612704 475727586 600919056 634303448 713591379 951455172 1201838112 1268606896 1427182758 1902910344 2537213792 2854365516 3805820688 5708731032 7611641376 11417462064 22834924128