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231454432 = 25113121211
BaseRepresentation
bin11011100101110…
…11011011100000
3121010112002210101
431302323123200
5433223020212
634544512144
75510221156
oct1562733340
9533462711
10231454432
11109717160
126561b654
1338c4b2b1
1422a4d3d6
15154be157
hexdcbb6e0

231454432 has 48 divisors (see below), whose sum is σ = 513160704. Its totient is φ = 101808000.

The previous prime is 231454429. The next prime is 231454453. The reversal of 231454432 is 234454132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 231454432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 21517.

It is an arithmetic number, because the mean of its divisors is an integer number (10690848).

Almost surely, 2231454432 is an apocalyptic number.

231454432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256580352).

231454432 is an abundant number, since it is smaller than the sum of its proper divisors (281706272).

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

231454432 is a wasteful number, since it uses less digits than its factorization.

231454432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263 (or 21255 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 231454432 is about 15213.6265236136. The cubic root of 231454432 is about 613.9813325677.

The spelling of 231454432 in words is "two hundred thirty-one million, four hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 21211 42422 84844 169688 233321 339376 466642 657541 678752 933284 1315082 1866568 2630164 3733136 5260328 7232951 7466272 10520656 14465902 21041312 28931804 57863608 115727216 231454432