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22664056608 = 253429572
BaseRepresentation
bin10101000110111000…
…100000111100100000
32011111111102100220000
4111012320200330200
5332403444302413
614224533220000
71431431205534
oct250670407440
964444370800
1022664056608
1196802a61a6
124486191600
1321a25b80ab
14115003dbc4
158c9aa1073
hex546e20f20

22664056608 has 90 divisors (see below), whose sum is σ = 66676909761. Its totient is φ = 7552130688.

The previous prime is 22664056607. The next prime is 22664056621. The reversal of 22664056608 is 80665046622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22664056608 is a `hidden beast` number, since 2 + 26 + 64 + 0 + 566 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20149234704 + 2514821904 = 141948^2 + 50148^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106452.

It is not an unprimeable number, because it can be changed into a prime (22664056601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7663066 + ... + 7666022.

Almost surely, 222664056608 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 22664056608

22664056608 is an abundant number, since it is smaller than the sum of its proper divisors (44012853153).

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

22664056608 is an frugal number, since it uses more digits than its factorization.

22664056608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22664056608 in words is "twenty-two billion, six hundred sixty-four million, fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2957 5914 8871 11828 17742 23656 26613 35484 47312 53226 70968 79839 94624 106452 141936 159678 212904 239517 283872 319356 425808 479034 638712 851616 958068 1277424 1916136 2554848 3832272 7664544 8743849 17487698 26231547 34975396 52463094 69950792 78694641 104926188 139901584 157389282 209852376 236083923 279803168 314778564 419704752 472167846 629557128 708251769 839409504 944335692 1259114256 1416503538 1888671384 2518228512 2833007076 3777342768 5666014152 7554685536 11332028304 22664056608