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232681152 = 26311292131
BaseRepresentation
bin11011101111001…
…10111011000000
3121012211102112110
431313212323000
5434031244102
635031055320
75523520464
oct1567467300
9535742473
10232681152
1110a384880
1265b11540
133928a772
1422c8c4a4
151566286c
hexdde6ec0

232681152 has 168 divisors, whose sum is σ = 700869312. Its totient is φ = 67558400.

The previous prime is 232681147. The next prime is 232681157. The reversal of 232681152 is 251186232.

It is an interprime number because it is at equal distance from previous prime (232681147) and next prime (232681157).

It is not an unprimeable number, because it can be changed into a prime (232681157) 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, 1776127 + ... + 1776257.

Almost surely, 2232681152 is an apocalyptic number.

232681152 is a gapful number since it is divisible by the number (22) 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 232681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350434656).

232681152 is an abundant number, since it is smaller than the sum of its proper divisors (468188160).

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

232681152 is a wasteful number, since it uses less digits than its factorization.

232681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 176 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 232681152 is about 15253.8897334418. The cubic root of 232681152 is about 615.0641323827.

The spelling of 232681152 in words is "two hundred thirty-two million, six hundred eighty-one thousand, one hundred fifty-two".