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231505116 = 223173832963
BaseRepresentation
bin11011100110001…
…11110011011100
3121010121200022120
431303013303130
5433231130431
634545542540
75510522013
oct1563076334
9533550276
10231505116
11109751247
1265644a50
1338c6839b
1422a63a7a
15154ce196
hexdcc7cdc

231505116 has 48 divisors (see below), whose sum is σ = 573640704. Its totient is φ = 72414976.

The previous prime is 231505111. The next prime is 231505123. The reversal of 231505116 is 611505132.

231505116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231505111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76651 + ... + 79613.

It is an arithmetic number, because the mean of its divisors is an integer number (11950848).

Almost surely, 2231505116 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 231505116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286820352).

231505116 is an abundant number, since it is smaller than the sum of its proper divisors (342135588).

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

231505116 is a wasteful number, since it uses less digits than its factorization.

231505116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 231505116 is about 15215.2921759656. The cubic root of 231505116 is about 614.0261459368.

The spelling of 231505116 in words is "two hundred thirty-one million, five hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 383 766 1149 1532 2298 2963 4596 5926 6511 8889 11852 13022 17778 19533 26044 35556 39066 50371 78132 100742 151113 201484 302226 604452 1134829 2269658 3404487 4539316 6808974 13617948 19292093 38584186 57876279 77168372 115752558 231505116