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231132312 = 23336715971
BaseRepresentation
bin11011100011011…
…00110010011000
3121002220201221000
431301230302120
5433132213222
634533545000
75504410065
oct1561546230
9532821830
10231132312
11109517144
12654a5160
1338b677a8
14229a7c6c
15154589ac
hexdc6cc98

231132312 has 64 divisors (see below), whose sum is σ = 651657600. Its totient is φ = 75889440.

The previous prime is 231132299. The next prime is 231132337. The reversal of 231132312 is 213231132.

231132312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 and also a Zuckerman number because it is divisible by the product of its digits.

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, 6487 + ... + 22457.

It is an arithmetic number, because the mean of its divisors is an integer number (10182150).

Almost surely, 2231132312 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 231132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325828800).

231132312 is an abundant number, since it is smaller than the sum of its proper divisors (420525288).

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

231132312 is a wasteful number, since it uses less digits than its factorization.

231132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16053 (or 16043 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 231132312 is about 15203.0362756918. The cubic root of 231132312 is about 613.6963700870.

Adding to 231132312 its reverse (213231132), we get a palindrome (444363444).

It can be divided in two parts, 23113 and 2312, that added together give a triangular number (25425 = T225).

The spelling of 231132312 in words is "two hundred thirty-one million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 15971 31942 47913 63884 95826 127768 143739 191652 287478 383304 431217 574956 862434 1070057 1149912 1724868 2140114 3210171 3449736 4280228 6420342 8560456 9630513 12840684 19261026 25681368 28891539 38522052 57783078 77044104 115566156 231132312