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23008608 = 25327101113
BaseRepresentation
bin101011111000…
…1010101100000
31121021221212200
41113301111200
521342233413
62141053200
7366366330
oct127612540
947257780
1023008608
1111a95787
127857200
1349c797c
1430ad0c0
152047573
hex15f1560

23008608 has 144 divisors (see below), whose sum is σ = 76186656. Its totient is φ = 6451200.

The previous prime is 23008607. The next prime is 23008613. The reversal of 23008608 is 80680032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23008607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203560 + ... + 203672.

It is an arithmetic number, because the mean of its divisors is an integer number (529074).

Almost surely, 223008608 is an apocalyptic number.

23008608 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 23008608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38093328).

23008608 is an abundant number, since it is smaller than the sum of its proper divisors (53178048).

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

23008608 is a wasteful number, since it uses less digits than its factorization.

23008608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23008608 is about 4796.7288853968. The cubic root of 23008608 is about 284.4221718310.

The spelling of 23008608 in words is "twenty-three million, eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 113 126 144 168 202 224 226 252 288 303 336 339 404 452 504 606 672 678 707 791 808 904 909 1008 1017 1212 1356 1414 1582 1616 1808 1818 2016 2034 2121 2373 2424 2712 2828 3164 3232 3616 3636 4068 4242 4746 4848 5424 5656 6328 6363 7119 7272 8136 8484 9492 9696 10848 11312 11413 12656 12726 14238 14544 16272 16968 18984 22624 22826 25312 25452 28476 29088 32544 33936 34239 37968 45652 50904 56952 67872 68478 75936 79891 91304 101808 102717 113904 136956 159782 182608 203616 205434 227808 239673 273912 319564 365216 410868 479346 547824 639128 719019 821736 958692 1095648 1278256 1438038 1643472 1917384 2556512 2876076 3286944 3834768 5752152 7669536 11504304 23008608