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23297568 = 253737937
BaseRepresentation
bin101100011011…
…1111000100000
31121211122020220
41120313320200
521431010233
62151203040
7402011640
oct130677040
947748226
1023297568
1112172898
127976480
134a99358
143146520
1520a2eb3
hex1637e20

23297568 has 96 divisors (see below), whose sum is σ = 71858304. Its totient is φ = 6469632.

The previous prime is 23297567. The next prime is 23297579. The reversal of 23297568 is 86579232.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23297563) 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, 24396 + ... + 25332.

It is an arithmetic number, because the mean of its divisors is an integer number (748524).

Almost surely, 223297568 is an apocalyptic number.

23297568 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 23297568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35929152).

23297568 is an abundant number, since it is smaller than the sum of its proper divisors (48560736).

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

23297568 is a wasteful number, since it uses less digits than its factorization.

23297568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 23297568 is about 4826.7554319646. The cubic root of 23297568 is about 285.6078868586.

The spelling of 23297568 in words is "twenty-three million, two hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 937 1036 1184 1554 1776 1874 2072 2811 3108 3552 3748 4144 5622 6216 6559 7496 8288 11244 12432 13118 14992 19677 22488 24864 26236 29984 34669 39354 44976 52472 69338 78708 89952 104007 104944 138676 157416 208014 209888 242683 277352 314832 416028 485366 554704 629664 728049 832056 970732 1109408 1456098 1664112 1941464 2912196 3328224 3882928 5824392 7765856 11648784 23297568