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232686080 = 295118263
BaseRepresentation
bin11011101111010…
…00001000000000
3121012211200021222
431313220020000
5434031423310
635031134212
75523541034
oct1567501000
9535750258
10232686080
1110a388550
1265b14368
133928ca93
1422c901c4
1515664055
hexdde8200

232686080 has 80 divisors (see below), whose sum is σ = 608693184. Its totient is φ = 84602880.

The previous prime is 232686079. The next prime is 232686107. The reversal of 232686080 is 80686232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232686080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24029 + ... + 32291.

Almost surely, 2232686080 is an apocalyptic number.

232686080 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 232686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304346592).

232686080 is an abundant number, since it is smaller than the sum of its proper divisors (376007104).

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

232686080 is an equidigital number, since it uses as much as digits as its factorization.

232686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 232686080 is about 15254.0512651558. The cubic root of 232686080 is about 615.0684745402.

The spelling of 232686080 in words is "two hundred thirty-two million, six hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 8263 14080 16526 28160 33052 41315 66104 82630 90893 132208 165260 181786 264416 330520 363572 454465 528832 661040 727144 908930 1057664 1322080 1454288 1817860 2115328 2644160 2908576 3635720 4230656 5288320 5817152 7271440 10576640 11634304 14542880 21153280 23268608 29085760 46537216 58171520 116343040 232686080