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232831152 = 2433717591
BaseRepresentation
bin11011110000010…
…11100010110000
3121020010001022000
431320023202300
5434101044102
635034214000
75525014011
oct1570134260
9536101260
10232831152
1110a477544
1265b84300
1339310b18
1422ccb008
151569201c
hexde0b8b0

232831152 has 80 divisors (see below), whose sum is σ = 677813760. Its totient is φ = 76507200.

The previous prime is 232831141. The next prime is 232831153. The reversal of 232831152 is 251138232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (232831153) 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 15 ways as a sum of consecutive naturals, for example, 26877 + ... + 34467.

It is an arithmetic number, because the mean of its divisors is an integer number (8472672).

Almost surely, 2232831152 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 232831152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338906880).

232831152 is an abundant number, since it is smaller than the sum of its proper divisors (444982608).

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

232831152 is a wasteful number, since it uses less digits than its factorization.

232831152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7667 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 232831152 is about 15258.8057199769. The cubic root of 232831152 is about 615.1962728688.

Adding to 232831152 its reverse (251138232), we get a palindrome (483969384).

The spelling of 232831152 in words is "two hundred thirty-two million, eight hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 5112 7591 7668 10224 15182 15336 22773 30364 30672 45546 60728 68319 91092 121456 136638 182184 204957 273276 364368 409914 538961 546552 819828 1077922 1093104 1616883 1639656 2155844 3233766 3279312 4311688 4850649 6467532 8623376 9701298 12935064 14551947 19402596 25870128 29103894 38805192 58207788 77610384 116415576 232831152