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231450624 = 2113229433
BaseRepresentation
bin11011100101110…
…10100000000000
3121010111220120100
431302322200000
5433222404444
634544442400
75510204106
oct1562724000
9533456510
10231450624
11109714309
1265619400
1338c49642
1422a4bc76
15154bce69
hexdcba800

231450624 has 144 divisors (see below), whose sum is σ = 693119700. Its totient is φ = 74317824.

The previous prime is 231450623. The next prime is 231450643. The reversal of 231450624 is 426054132.

231450624 is a `hidden beast` number, since 2 + 31 + 4 + 5 + 0 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221414400 + 10036224 = 14880^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (231450623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534312 + ... + 534744.

Almost surely, 2231450624 is an apocalyptic number.

231450624 is a gapful number since it is divisible by the number (24) 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 231450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346559850).

231450624 is an abundant number, since it is smaller than the sum of its proper divisors (461669076).

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

231450624 is a wasteful number, since it uses less digits than its factorization.

231450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

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

The square root of 231450624 is about 15213.5013721365. The cubic root of 231450624 is about 613.9779653769.

The spelling of 231450624 in words is "two hundred thirty-one million, four hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 433 464 512 522 576 696 768 866 928 1024 1044 1152 1299 1392 1536 1732 1856 2048 2088 2304 2598 2784 3072 3464 3712 3897 4176 4608 5196 5568 6144 6928 7424 7794 8352 9216 10392 11136 12557 13856 14848 15588 16704 18432 20784 22272 25114 27712 29696 31176 33408 37671 41568 44544 50228 55424 59392 62352 66816 75342 83136 89088 100456 110848 113013 124704 133632 150684 166272 178176 200912 221696 226026 249408 267264 301368 332544 401824 443392 452052 498816 534528 602736 665088 803648 886784 904104 997632 1205472 1330176 1607296 1808208 1995264 2410944 2660352 3214592 3616416 3990528 4821888 6429184 7232832 7981056 9643776 12858368 14465664 19287552 25716736 28931328 38575104 57862656 77150208 115725312 231450624