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231401984 = 2911181227
BaseRepresentation
bin11011100101011…
…10101000000000
3121010102102211212
431302232220000
5433214330414
634543425252
75506612232
oct1562565000
9533372755
10231401984
11109690810
12655b5228
1338c30468
1422a38252
15154ad83e
hexdcaea00

231401984 has 80 divisors (see below), whose sum is σ = 509404896. Its totient is φ = 104140800.

The previous prime is 231401927. The next prime is 231401999. The reversal of 231401984 is 489104132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 231401984.

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, 1019279 + ... + 1019505.

Almost surely, 2231401984 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 231401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448).

231401984 is an abundant number, since it is smaller than the sum of its proper divisors (278002912).

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

231401984 is a wasteful number, since it uses less digits than its factorization.

231401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 231401984 is about 15211.9027080770. The cubic root of 231401984 is about 613.9349526312.

The spelling of 231401984 in words is "two hundred thirty-one million, four hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 227 256 352 362 454 512 704 724 908 1408 1448 1816 1991 2497 2816 2896 3632 3982 4994 5632 5792 7264 7964 9988 11584 14528 15928 19976 23168 29056 31856 39952 41087 46336 58112 63712 79904 82174 92672 116224 127424 159808 164348 254848 319616 328696 451957 509696 639232 657392 903914 1019392 1278464 1314784 1807828 2629568 3615656 5259136 7231312 10518272 14462624 21036544 28925248 57850496 115700992 231401984