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231114132 = 223253891361
BaseRepresentation
bin11011100011010…
…00010110010100
3121002212210222200
431301220112110
5433131123012
634533324500
75504303064
oct1561502624
9532783880
10231114132
11109504517
1265496730
1338b5c432
14229a13a4
15154533dc
hexdc68594

231114132 has 72 divisors (see below), whose sum is σ = 602358120. Its totient is φ = 74680320.

The previous prime is 231114127. The next prime is 231114179. The reversal of 231114132 is 231411132.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 225180036 = 2436^2 + 15006^2 .

It is a super-2 number, since 2×2311141322 = 106827484020226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169132 + ... + 170492.

It is an arithmetic number, because the mean of its divisors is an integer number (8366085).

Almost surely, 2231114132 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 231114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301179060).

231114132 is an abundant number, since it is smaller than the sum of its proper divisors (371243988).

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

231114132 is a wasteful number, since it uses less digits than its factorization.

231114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1508 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 231114132 is about 15202.4383570531. The cubic root of 231114132 is about 613.6802793142.

Adding to 231114132 its reverse (231411132), we get a palindrome (462525264).

The spelling of 231114132 in words is "two hundred thirty-one million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 89 106 159 178 212 267 318 356 477 534 636 801 954 1068 1361 1602 1908 2722 3204 4083 4717 5444 8166 9434 12249 14151 16332 18868 24498 28302 42453 48996 56604 72133 84906 121129 144266 169812 216399 242258 288532 363387 432798 484516 649197 726774 865596 1090161 1298394 1453548 2180322 2596788 4360644 6419837 12839674 19259511 25679348 38519022 57778533 77038044 115557066 231114132