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231382368 = 25327114773
BaseRepresentation
bin11011100101010…
…01110101100000
3121010101102221100
431302221311200
5433213213433
634543154400
75506501110
oct1562516540
9533342840
10231382368
11109677aa8
12655a5a00
1338c24559
1422a31040
15154a7b13
hexdca9d60

231382368 has 72 divisors (see below), whose sum is σ = 751999248. Its totient is φ = 66108672.

The previous prime is 231382309. The next prime is 231382373. The reversal of 231382368 is 863283132.

231382368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55371 + ... + 59402.

It is an arithmetic number, because the mean of its divisors is an integer number (10444434).

Almost surely, 2231382368 is an apocalyptic number.

231382368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

231382368 is an abundant number, since it is smaller than the sum of its proper divisors (520616880).

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

231382368 is a wasteful number, since it uses less digits than its factorization.

231382368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114796 (or 114785 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 231382368 is about 15211.2579361472. The cubic root of 231382368 is about 613.9176043381.

It can be divided in two parts, 2313 and 82368, that added together give a square (84681 = 2912).

The spelling of 231382368 in words is "two hundred thirty-one million, three hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 114773 229546 344319 459092 688638 803411 918184 1032957 1377276 1606822 1836368 2065914 2410233 2754552 3213644 3672736 4131828 4820466 5509104 6427288 7230699 8263656 9640932 11018208 12854576 14461398 16527312 19281864 25709152 28922796 33054624 38563728 57845592 77127456 115691184 231382368