Search a number
-
+
231314910 = 235231372447
BaseRepresentation
bin11011100100110…
…01010111011110
3121010021000101220
431302121113132
5433204034120
634541514210
75506100331
oct1562312736
9533230356
10231314910
11109631352
1265572966
1338bcc938
1422a14618
1515492b40
hexdc995de

231314910 has 64 divisors (see below), whose sum is σ = 583759872. Its totient is φ = 58547456.

The previous prime is 231314893. The next prime is 231314957. The reversal of 231314910 is 19413132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93307 + ... + 95753.

It is an arithmetic number, because the mean of its divisors is an integer number (9121248).

Almost surely, 2231314910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231314910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291879936).

231314910 is an abundant number, since it is smaller than the sum of its proper divisors (352444962).

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

231314910 is a wasteful number, since it uses less digits than its factorization.

231314910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 231314910 is about 15209.0404036547. The cubic root of 231314910 is about 613.8579373327.

The spelling of 231314910 in words is "two hundred thirty-one million, three hundred fourteen thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 137 138 230 274 345 411 685 690 822 1370 2055 2447 3151 4110 4894 6302 7341 9453 12235 14682 15755 18906 24470 31510 36705 47265 56281 73410 94530 112562 168843 281405 335239 337686 562810 670478 844215 1005717 1676195 1688430 2011434 3352390 5028585 7710497 10057170 15420994 23131491 38552485 46262982 77104970 115657455 231314910