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231406542 = 232234113633
BaseRepresentation
bin11011100101011…
…11101111001110
3121010102200002200
431302233233032
5433220002132
634543502330
75506631433
oct1562575716
9533380080
10231406542
11109694184
12655b79a6
1338c32563
1422a39b8a
15154aed7c
hexdcafbce

231406542 has 48 divisors (see below), whose sum is σ = 535979808. Its totient is φ = 71976960.

The previous prime is 231406541. The next prime is 231406603. The reversal of 231406542 is 245604132.

231406542 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 0 + 654 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231406541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10158 + ... + 23790.

It is an arithmetic number, because the mean of its divisors is an integer number (11166246).

Almost surely, 2231406542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231406542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267989904).

231406542 is an abundant number, since it is smaller than the sum of its proper divisors (304573266).

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

231406542 is a wasteful number, since it uses less digits than its factorization.

231406542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13705 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 231406542 is about 15212.0525242322. The cubic root of 231406542 is about 613.9389835634.

The spelling of 231406542 in words is "two hundred thirty-one million, four hundred six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 5658 8487 13633 16974 27266 40899 81798 122697 245394 313559 558953 627118 940677 1117906 1676859 1881354 2822031 3353718 5030577 5644062 10061154 12855919 25711838 38567757 77135514 115703271 231406542