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23213568 = 293717127
BaseRepresentation
bin101100010001…
…1011000000000
31121200101000210
41120203120000
521420313233
62145314120
7401212020
oct130433000
947611023
1023213568
1112115774
127935940
134a6a051
143123a80
152088163
hex1623600

23213568 has 160 divisors (see below), whose sum is σ = 75423744. Its totient is φ = 6193152.

The previous prime is 23213539. The next prime is 23213569. The reversal of 23213568 is 86531232.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182721 + ... + 182847.

Almost surely, 223213568 is an apocalyptic number.

23213568 is a gapful number since it is divisible by the number (28) 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 23213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711872).

23213568 is an abundant number, since it is smaller than the sum of its proper divisors (52210176).

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

23213568 is a wasteful number, since it uses less digits than its factorization.

23213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 23213568 is about 4818.0460769901. The cubic root of 23213568 is about 285.2642178848.

The spelling of 23213568 in words is "twenty-three million, two hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 127 128 136 168 192 204 224 238 254 256 272 336 357 381 384 408 448 476 508 512 544 672 714 762 768 816 889 896 952 1016 1088 1344 1428 1524 1536 1632 1778 1792 1904 2032 2159 2176 2667 2688 2856 3048 3264 3556 3584 3808 4064 4318 4352 5334 5376 5712 6096 6477 6528 7112 7616 8128 8636 8704 10668 10752 11424 12192 12954 13056 14224 15113 15232 16256 17272 21336 22848 24384 25908 26112 28448 30226 30464 32512 34544 42672 45339 45696 48768 51816 56896 60452 60928 65024 69088 85344 90678 91392 97536 103632 113792 120904 138176 170688 181356 182784 195072 207264 227584 241808 276352 341376 362712 414528 455168 483616 552704 682752 725424 829056 967232 1105408 1365504 1450848 1658112 1934464 2901696 3316224 3868928 5803392 7737856 11606784 23213568