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22152374496 = 2532710988281
BaseRepresentation
bin10100101000011000…
…100110100011100000
32010011211121012222200
4110220120212203200
5330332001440441
614102054133200
71412646035130
oct245030464340
963154535880
1022152374496
11943848a91a
124362951200
1321205a2905
1411020c6ac0
15899bcb7b6
hex5286268e0

22152374496 has 72 divisors (see below), whose sum is σ = 71995223664. Its totient is φ = 6329249280.

The previous prime is 22152374473. The next prime is 22152374509. The reversal of 22152374496 is 69447325122.

22152374496 is a `hidden beast` number, since 2 + 2 + 152 + 3 + 7 + 4 + 496 = 666.

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

It is a super-2 number, since 2×221523744962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5492125 + ... + 5496156.

It is an arithmetic number, because the mean of its divisors is an integer number (999933662).

Almost surely, 222152374496 is an apocalyptic number.

It is an amenable number.

22152374496 is an abundant number, since it is smaller than the sum of its proper divisors (49842849168).

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

22152374496 is a wasteful number, since it uses less digits than its factorization.

22152374496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988304 (or 10988293 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 22152374496 in words is "twenty-two billion, one hundred fifty-two million, three hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10988281 21976562 32964843 43953124 65929686 76917967 87906248 98894529 131859372 153835934 175812496 197789058 230753901 263718744 307671868 351624992 395578116 461507802 527437488 615343736 692261703 791156232 923015604 1054874976 1230687472 1384523406 1582312464 1846031208 2461374944 2769046812 3164624928 3692062416 5538093624 7384124832 11076187248 22152374496