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22990464 = 273272851
BaseRepresentation
bin101011110110…
…0111010000000
31121021000222200
41113230322000
521341143324
62140433200
7366262410
oct127547200
947230880
1022990464
1111a83092
127848800
1349bc633
1430a6640
152041ec9
hex15ece80

22990464 has 96 divisors (see below), whose sum is σ = 75635040. Its totient is φ = 6566400.

The previous prime is 22990459. The next prime is 22990469. The reversal of 22990464 is 46409922.

It is an interprime number because it is at equal distance from previous prime (22990459) and next prime (22990469).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×229904642 = 1057122869870592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22990469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6639 + ... + 9489.

It is an arithmetic number, because the mean of its divisors is an integer number (787865).

Almost surely, 222990464 is an apocalyptic number.

22990464 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 22990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37817520).

22990464 is an abundant number, since it is smaller than the sum of its proper divisors (52644576).

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

22990464 is a wasteful number, since it uses less digits than its factorization.

22990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 22990464 is about 4794.8372235145. The cubic root of 22990464 is about 284.3473894861.

The spelling of 22990464 in words is "twenty-two million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 2851 4032 5702 8064 8553 11404 17106 19957 22808 25659 34212 39914 45616 51318 59871 68424 79828 91232 102636 119742 136848 159656 179613 182464 205272 239484 273696 319312 359226 364928 410544 478968 547392 638624 718452 821088 957936 1094784 1277248 1436904 1642176 1915872 2554496 2873808 3284352 3831744 5747616 7663488 11495232 22990464