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232132080 = 24353726141
BaseRepresentation
bin11011101011000…
…00110111110000
3121011210112100110
431311200313300
5433411211310
635011221320
75516042625
oct1565406760
9534715313
10232132080
1110a03a2a4
12658a7840
133912787b
1422b8834c
15155a4d20
hexdd60df0

232132080 has 80 divisors (see below), whose sum is σ = 739086624. Its totient is φ = 60226560.

The previous prime is 232132057. The next prime is 232132097. The reversal of 232132080 is 80231232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4191 + ... + 21950.

Almost surely, 2232132080 is an apocalyptic number.

232132080 is a gapful number since it is divisible by the number (20) 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 232132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369543312).

232132080 is an abundant number, since it is smaller than the sum of its proper divisors (506954544).

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

232132080 is a wasteful number, since it uses less digits than its factorization.

232132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26194 (or 26188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 232132080 is about 15235.8813332213. The cubic root of 232132080 is about 614.5799497991.

The spelling of 232132080 in words is "two hundred thirty-two million, one hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 26141 52282 78423 104564 130705 156846 209128 261410 313692 392115 418256 522820 627384 784230 967217 1045640 1254768 1568460 1934434 2091280 2901651 3136920 3868868 4836085 5803302 6273840 7737736 9672170 11606604 14508255 15475472 19344340 23213208 29016510 38688680 46426416 58033020 77377360 116066040 232132080