Search a number
-
+
231217080 = 233519101411
BaseRepresentation
bin11011100100000…
…01011110111000
3121010002001012120
431302001132320
5433142421310
634535441240
75505212163
oct1562013670
9533061176
10231217080
111095748a6
1265526220
1338b97253
14229caada
1515473b70
hexdc817b8

231217080 has 64 divisors (see below), whose sum is σ = 730166400. Its totient is φ = 58412160.

The previous prime is 231217079. The next prime is 231217117. The reversal of 231217080 is 80712132.

231217080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2312170802 = 106922676167452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231217080.

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, 48426 + ... + 52985.

It is an arithmetic number, because the mean of its divisors is an integer number (11408850).

Almost surely, 2231217080 is an apocalyptic number.

231217080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231217080 is an abundant number, since it is smaller than the sum of its proper divisors (498949320).

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

231217080 is a wasteful number, since it uses less digits than its factorization.

231217080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101444 (or 101440 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 231217080 is about 15205.8238842885. The cubic root of 231217080 is about 613.7713854971.

The spelling of 231217080 in words is "two hundred thirty-one million, two hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 101411 202822 304233 405644 507055 608466 811288 1014110 1216932 1521165 1926809 2028220 2433864 3042330 3853618 4056440 5780427 6084660 7707236 9634045 11560854 12169320 15414472 19268090 23121708 28902135 38536180 46243416 57804270 77072360 115608540 231217080