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23022048 = 253734259
BaseRepresentation
bin101011111010…
…0100111100000
31121022122022110
41113310213200
521343201143
62141235320
7366453450
oct127644740
947278273
1023022048
1111aa4895
127862b40
134a00b1a
1430b3d60
15204b533
hex15f49e0

23022048 has 48 divisors (see below), whose sum is σ = 69068160. Its totient is φ = 6577536.

The previous prime is 23022023. The next prime is 23022061. The reversal of 23022048 is 84022032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×230220482 = 1060029388228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 7 ways as a sum of consecutive naturals, for example, 16458 + ... + 17801.

It is an arithmetic number, because the mean of its divisors is an integer number (1438920).

Almost surely, 223022048 is an apocalyptic number.

23022048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23022048 is an abundant number, since it is smaller than the sum of its proper divisors (46046112).

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

23022048 is a wasteful number, since it uses less digits than its factorization.

23022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34279 (or 34271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23022048 is about 4798.1296355976. The cubic root of 23022048 is about 284.4775408176.

The spelling of 23022048 in words is "twenty-three million, twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 34259 68518 102777 137036 205554 239813 274072 411108 479626 548144 719439 822216 959252 1096288 1438878 1644432 1918504 2877756 3288864 3837008 5755512 7674016 11511024 23022048