Search a number
-
+
232077324 = 223194492267
BaseRepresentation
bin11011101010100…
…11100000001100
3121011200202020110
431311103200030
5433402433244
635010120020
75515424163
oct1565234014
9534622213
10232077324
1110a002146
1265880010
133910897b
1422b723da
15155939b9
hexdd5380c

232077324 has 48 divisors (see below), whose sum is σ = 571536000. Its totient is φ = 73092096.

The previous prime is 232077323. The next prime is 232077359. The reversal of 232077324 is 423770232.

It is a junction number, because it is equal to n+sod(n) for n = 232077291 and 232077300.

It is not an unprimeable number, because it can be changed into a prime (232077323) 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, 101239 + ... + 103505.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2232077324 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 232077324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285768000).

232077324 is an abundant number, since it is smaller than the sum of its proper divisors (339458676).

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

232077324 is a wasteful number, since it uses less digits than its factorization.

232077324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 232077324 is about 15234.0842849185. The cubic root of 232077324 is about 614.5316230217.

The spelling of 232077324 in words is "two hundred thirty-two million, seventy-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 449 898 1347 1796 2267 2694 4534 5388 6801 8531 9068 13602 17062 25593 27204 34124 43073 51186 86146 102372 129219 172292 258438 516876 1017883 2035766 3053649 4071532 6107298 12214596 19339777 38679554 58019331 77359108 116038662 232077324