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232855152 = 243294092
BaseRepresentation
bin11011110000100…
…01011001110000
3121020011021012220
431320101121300
5434102331102
635034521040
75525143665
oct1570213160
9536137186
10232855152
1110a493582
1265b96180
133931ba1a
1422cd5a6c
15156991bc
hexde11670

232855152 has 60 divisors (see below), whose sum is σ = 623810520. Its totient is φ = 74758656.

The previous prime is 232855093. The next prime is 232855157. The reversal of 232855152 is 251558232.

232855152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232855157) 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 11 ways as a sum of consecutive naturals, for example, 569124 + ... + 569532.

It is an arithmetic number, because the mean of its divisors is an integer number (10396842).

Almost surely, 2232855152 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 232855152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311905260).

232855152 is an abundant number, since it is smaller than the sum of its proper divisors (390955368).

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

232855152 is an equidigital number, since it uses as much as digits as its factorization.

232855152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 443 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 232855152 is about 15259.5921308533. The cubic root of 232855152 is about 615.2174100794.

The spelling of 232855152 in words is "two hundred thirty-two million, eight hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 409 464 696 818 1227 1392 1636 2454 3272 4908 6544 9816 11861 19632 23722 35583 47444 71166 94888 142332 167281 189776 284664 334562 501843 569328 669124 1003686 1338248 2007372 2676496 4014744 4851149 8029488 9702298 14553447 19404596 29106894 38809192 58213788 77618384 116427576 232855152