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231272509230 = 23357271145137
BaseRepresentation
bin1101011101100011101…
…0100110111100101110
3211002221210000202101000
43113120322212330232
512242121230243410
6254124540301130
722465101615210
oct3273072467456
9732853022330
10231272509230
118a09a336254
12389a48417a6
1318a692153c9
14b29d5325b0
156038b5cdc0
hex35d8ea6f2e

231272509230 has 128 divisors (see below), whose sum is σ = 705106114560. Its totient is φ = 52841617920.

The previous prime is 231272509177. The next prime is 231272509241. The reversal of 231272509230 is 32905272132.

It is a happy number.

231272509230 is a `hidden beast` number, since 2 + 3 + 127 + 2 + 509 + 23 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5101222 + ... + 5146358.

It is an arithmetic number, because the mean of its divisors is an integer number (5508641520).

Almost surely, 2231272509230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231272509230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352553057280).

231272509230 is an abundant number, since it is smaller than the sum of its proper divisors (473833605330).

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

231272509230 is a wasteful number, since it uses less digits than its factorization.

231272509230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47871 (or 47865 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 231272509230 in words is "two hundred thirty-one billion, two hundred seventy-two million, five hundred nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2711 5422 8133 13555 16266 18977 24399 27110 37954 40665 45137 48798 56931 73197 81330 90274 94885 113862 121995 135411 146394 170793 189770 225685 243990 270822 284655 315959 341586 365985 406233 451370 512379 569310 631918 677055 731970 812466 853965 947877 1024758 1218699 1354110 1579795 1707930 1895754 2031165 2437398 2561895 2843631 3159590 4062330 4739385 5123790 5687262 6093495 8530893 9478770 12186990 14218155 17061786 28436310 42654465 85308930 122366407 244732814 367099221 611832035 734198442 856564849 1101297663 1223664070 1713129698 1835496105 2202595326 2569694547 3303892989 3670992210 4282824245 5139389094 5506488315 6607785978 7709083641 8565648490 11012976630 12848472735 15418167282 16519464945 23127250923 25696945470 33038929890 38545418205 46254501846 77090836410 115636254615 231272509230