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22664904 = 2334771283
BaseRepresentation
bin101011001110…
…1011011001000
31120122111101220
41112131123020
521300234104
62125442040
7363435303
oct126353310
946574356
1022664904
1111880529
127710320
1349073b2
14301db3a
151eca7d9
hex159d6c8

22664904 has 64 divisors (see below), whose sum is σ = 58890240. Its totient is φ = 7264320.

The previous prime is 22664899. The next prime is 22664933. The reversal of 22664904 is 40946622.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 79947 + ... + 80229.

It is an arithmetic number, because the mean of its divisors is an integer number (920160).

Almost surely, 222664904 is an apocalyptic number.

22664904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22664904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29445120).

22664904 is an abundant number, since it is smaller than the sum of its proper divisors (36225336).

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

22664904 is a wasteful number, since it uses less digits than its factorization.

22664904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 22664904 is about 4760.7671650691. The cubic root of 22664904 is about 282.9988221388.

The spelling of 22664904 in words is "twenty-two million, six hundred sixty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 141 142 188 213 282 283 284 376 426 564 566 568 849 852 1128 1132 1698 1704 2264 3337 3396 6674 6792 10011 13301 13348 20022 20093 26602 26696 39903 40044 40186 53204 60279 79806 80088 80372 106408 120558 159612 160744 241116 319224 482232 944371 1888742 2833113 3777484 5666226 7554968 11332452 22664904