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232065680 = 245711101373
BaseRepresentation
bin11011101010100…
…00101010010000
3121011200011021012
431311100222100
5433402100210
635005550052
75515345220
oct1565205220
9534604235
10232065680
11109aa4420
1265875328
1339103592
1422b6c080
1515590305
hexdd50a90

232065680 has 160 divisors (see below), whose sum is σ = 681170688. Its totient is φ = 71424000.

The previous prime is 232065667. The next prime is 232065683. The reversal of 232065680 is 86560232.

It is not an unprimeable number, because it can be changed into a prime (232065683) 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, 621974 + ... + 622346.

Almost surely, 2232065680 is an apocalyptic number.

232065680 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 232065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340585344).

232065680 is an abundant number, since it is smaller than the sum of its proper divisors (449105008).

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

232065680 is a wasteful number, since it uses less digits than its factorization.

232065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 232065680 is about 15233.7021107806. The cubic root of 232065680 is about 614.5213452319.

The spelling of 232065680 in words is "two hundred thirty-two million, sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 101 110 112 140 154 176 202 220 280 308 373 385 404 440 505 560 616 707 746 770 808 880 1010 1111 1232 1414 1492 1540 1616 1865 2020 2222 2611 2828 2984 3080 3535 3730 4040 4103 4444 5222 5555 5656 5968 6160 7070 7460 7777 8080 8206 8888 10444 11110 11312 13055 14140 14920 15554 16412 17776 20515 20888 22220 26110 28280 28721 29840 31108 32824 37673 38885 41030 41776 44440 52220 56560 57442 62216 65648 75346 77770 82060 88880 104440 114884 124432 143605 150692 155540 164120 188365 208880 229768 263711 287210 301384 311080 328240 376730 414403 459536 527422 574420 602768 622160 753460 828806 1054844 1148840 1318555 1506920 1657612 2072015 2109688 2297680 2637110 2900821 3013840 3315224 4144030 4219376 5274220 5801642 6630448 8288060 10548440 11603284 14504105 16576120 21096880 23206568 29008210 33152240 46413136 58016420 116032840 232065680