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22974016 = 261353521
BaseRepresentation
bin101011110100…
…0111001000000
31121020012102111
41113220321000
521340132031
62140225104
7366163432
oct127507100
947205374
1022974016
1111a7179a
12783b194
1349b4cc0
1430a0652
15203c1b1
hex15e8e40

22974016 has 56 divisors (see below), whose sum is σ = 50118264. Its totient is φ = 10383360.

The previous prime is 22974011. The next prime is 22974037. The reversal of 22974016 is 61047922.

It can be written as a sum of positive squares in 4 ways, for example, as 921600 + 22052416 = 960^2 + 4696^2 .

It is a super-2 number, since 2×229740162 = 1055610822336512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22974011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43836 + ... + 44356.

It is an arithmetic number, because the mean of its divisors is an integer number (894969).

Almost surely, 222974016 is an apocalyptic number.

22974016 is a gapful number since it is divisible by the number (26) 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 22974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059132).

22974016 is an abundant number, since it is smaller than the sum of its proper divisors (27144248).

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

22974016 is a wasteful number, since it uses less digits than its factorization.

22974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 22974016 is about 4793.1217384915. The cubic root of 22974016 is about 284.2795633700.

The spelling of 22974016 in words is "twenty-two million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 521 689 832 848 1042 1378 1696 2084 2756 3392 4168 5512 6773 8336 11024 13546 16672 22048 27092 27613 33344 44096 54184 55226 108368 110452 216736 220904 358969 433472 441808 717938 883616 1435876 1767232 2871752 5743504 11487008 22974016