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231406752 = 25319912113
BaseRepresentation
bin11011100101011…
…11110010100000
3121010102200101110
431302233302200
5433220004002
634543503320
75506632153
oct1562576240
9533380343
10231406752
11109694355
12655b7b40
1338c32695
1422a39c9a
15154aee6c
hexdcafca0

231406752 has 48 divisors (see below), whose sum is σ = 610545600. Its totient is φ = 76741632.

The previous prime is 231406741. The next prime is 231406753. The reversal of 231406752 is 257604132.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (231406753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13048 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (12719700).

Almost surely, 2231406752 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 231406752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305272800).

231406752 is an abundant number, since it is smaller than the sum of its proper divisors (379138848).

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

231406752 is a wasteful number, since it uses less digits than its factorization.

231406752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12317 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 231406752 is about 15212.0594266523. The cubic root of 231406752 is about 613.9391692787.

It can be divided in two parts, 23140 and 6752, that added together give a palindrome (29892).

The spelling of 231406752 in words is "two hundred thirty-one million, four hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 12113 19104 24226 36339 48452 72678 96904 145356 193808 290712 387616 581424 1162848 2410487 4820974 7231461 9641948 14462922 19283896 28925844 38567792 57851688 77135584 115703376 231406752