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232790532 = 2231331371301
BaseRepresentation
bin11011110000000…
…01101000000100
3121020000222120120
431320001220010
5434043244112
635033301540
75524454412
oct1570015004
9536028516
10232790532
1110a449a77
1265b648b0
13392c84a0
1422cba2b2
1515684e8c
hexde01a04

232790532 has 96 divisors (see below), whose sum is σ = 620626944. Its totient is φ = 67392000.

The previous prime is 232790513. The next prime is 232790539. The reversal of 232790532 is 235097232.

It is a junction number, because it is equal to n+sod(n) for n = 232790493 and 232790502.

It is not an unprimeable number, because it can be changed into a prime (232790539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178282 + ... + 179582.

It is an arithmetic number, because the mean of its divisors is an integer number (6464864).

Almost surely, 2232790532 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 232790532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310313472).

232790532 is an abundant number, since it is smaller than the sum of its proper divisors (387836412).

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

232790532 is a wasteful number, since it uses less digits than its factorization.

232790532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 232790532 is about 15257.4746272114. The cubic root of 232790532 is about 615.1604948300.

The spelling of 232790532 in words is "two hundred thirty-two million, seven hundred ninety thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 37 39 52 62 74 78 93 111 124 148 156 186 222 372 403 444 481 806 962 1147 1209 1301 1443 1612 1924 2294 2418 2602 2886 3441 3903 4588 4836 5204 5772 6882 7806 13764 14911 15612 16913 29822 33826 40331 44733 48137 50739 59644 67652 80662 89466 96274 101478 120993 144411 161324 178932 192548 202956 241986 288822 483972 524303 577644 625781 1048606 1251562 1492247 1572909 1877343 2097212 2503124 2984494 3145818 3754686 4476741 5968988 6291636 7509372 8953482 17906964 19399211 38798422 58197633 77596844 116395266 232790532