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23325768 = 23321721959
BaseRepresentation
bin101100011111…
…0110001001000
31121220001221100
41120332301020
521432411033
62151541400
7402160104
oct130766110
947801840
1023325768
1112191aa4
12798a860
134aa913b
143152904
1520ab513
hex163ec48

23325768 has 144 divisors (see below), whose sum is σ = 71838000. Its totient is φ = 6815232.

The previous prime is 23325767. The next prime is 23325779. The reversal of 23325768 is 86752332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23325767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395323 + ... + 395381.

It is an arithmetic number, because the mean of its divisors is an integer number (498875).

Almost surely, 223325768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23325768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35919000).

23325768 is an abundant number, since it is smaller than the sum of its proper divisors (48512232).

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

23325768 is a wasteful number, since it uses less digits than its factorization.

23325768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 23325768 is about 4829.6757655147. The cubic root of 23325768 is about 285.7230762057.

It can be divided in two parts, 2332 and 5768, that added together give a square (8100 = 902).

The spelling of 23325768 in words is "twenty-three million, three hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 59 68 72 76 102 114 118 136 152 153 171 177 204 228 236 289 306 323 342 354 408 456 472 531 578 612 646 684 708 867 969 1003 1062 1121 1156 1224 1292 1368 1416 1734 1938 2006 2124 2242 2312 2584 2601 2907 3009 3363 3468 3876 4012 4248 4484 5202 5491 5814 6018 6726 6936 7752 8024 8968 9027 10089 10404 10982 11628 12036 13452 16473 17051 18054 19057 20178 20808 21964 23256 24072 26904 32946 34102 36108 38114 40356 43928 49419 51153 57171 65892 68204 72216 76228 80712 98838 102306 114342 131784 136408 152456 153459 171513 197676 204612 228684 306918 323969 343026 395352 409224 457368 613836 647938 686052 971907 1227672 1295876 1372104 1943814 2591752 2915721 3887628 5831442 7775256 11662884 23325768