Search a number
-
+
231962112 = 293271709
BaseRepresentation
bin11011101001101…
…11011000000000
3121011110220012100
431310313120000
5433340241422
635003430400
75514434244
oct1564673000
9534426170
10231962112
11109a33628
1265825400
13390983b5
1422b42424
151556e7ac
hexdd37600

231962112 has 120 divisors (see below), whose sum is σ = 679844880. Its totient is φ = 76124160.

The previous prime is 231962111. The next prime is 231962141. The reversal of 231962112 is 211269132.

231962112 is a `hidden beast` number, since 2 + 31 + 9 + 621 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231962111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326814 + ... + 327522.

It is an arithmetic number, because the mean of its divisors is an integer number (5665374).

Almost surely, 2231962112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339922440).

231962112 is an abundant number, since it is smaller than the sum of its proper divisors (447882768).

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

231962112 is an equidigital number, since it uses as much as digits as its factorization.

231962112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 231962112 is about 15230.3024264129. The cubic root of 231962112 is about 614.4299139081.

The spelling of 231962112 in words is "two hundred thirty-one million, nine hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 709 768 852 1136 1152 1278 1418 1536 1704 2127 2272 2304 2556 2836 3408 4254 4544 4608 5112 5672 6381 6816 8508 9088 10224 11344 12762 13632 17016 18176 20448 22688 25524 27264 34032 36352 40896 45376 50339 51048 54528 68064 81792 90752 100678 102096 109056 136128 151017 163584 181504 201356 204192 272256 302034 327168 363008 402712 408384 453051 544512 604068 805424 816768 906102 1089024 1208136 1610848 1633536 1812204 2416272 3221696 3267072 3624408 4832544 6443392 7248816 9665088 12886784 14497632 19330176 25773568 28995264 38660352 57990528 77320704 115981056 231962112