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232475168 = 25232631201
BaseRepresentation
bin11011101101101…
…00101000100000
3121012102221222102
431312310220200
5434003201133
635022425532
75522002112
oct1566645040
9535387872
10232475168
1110a254042
1265a322a8
1339217a93
1422c373b2
15156217e8
hexddb4a20

232475168 has 48 divisors (see below), whose sum is σ = 479799936. Its totient is φ = 110668800.

The previous prime is 232475167. The next prime is 232475171. The reversal of 232475168 is 861574232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232475167) by changing a digit.

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, 192968 + ... + 194168.

It is an arithmetic number, because the mean of its divisors is an integer number (9995832).

Almost surely, 2232475168 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 232475168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239899968).

232475168 is an abundant number, since it is smaller than the sum of its proper divisors (247324768).

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

232475168 is a wasteful number, since it uses less digits than its factorization.

232475168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 232475168 is about 15247.1363868761. The cubic root of 232475168 is about 614.8825809718.

It can be divided in two parts, 232 and 475168, that multiplied together give a triangular number (110238976 = T14848).

The spelling of 232475168 in words is "two hundred thirty-two million, four hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 263 368 526 736 1052 1201 2104 2402 4208 4804 6049 8416 9608 12098 19216 24196 27623 38432 48392 55246 96784 110492 193568 220984 315863 441968 631726 883936 1263452 2526904 5053808 7264849 10107616 14529698 29059396 58118792 116237584 232475168