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231034496 = 2771122131
BaseRepresentation
bin11011100010101…
…00111010000000
3121002201202202012
431301110322000
5433121100441
634531512052
75503521650
oct1561247200
9532652665
10231034496
1110945a700
1265458628
1338b32104
1422980360
15154399eb
hexdc54e80

231034496 has 96 divisors (see below), whose sum is σ = 578454240. Its totient is φ = 89971200.

The previous prime is 231034493. The next prime is 231034523. The reversal of 231034496 is 694430132.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (231034493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107351 + ... + 109481.

It is an arithmetic number, because the mean of its divisors is an integer number (6025565).

Almost surely, 2231034496 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 231034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289227120).

231034496 is an abundant number, since it is smaller than the sum of its proper divisors (347419744).

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

231034496 is a wasteful number, since it uses less digits than its factorization.

231034496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 231034496 is about 15199.8189462901. The cubic root of 231034496 is about 613.6097850572.

The spelling of 231034496 in words is "two hundred thirty-one million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 308 352 448 484 616 704 847 896 968 1232 1408 1694 1936 2131 2464 3388 3872 4262 4928 6776 7744 8524 9856 13552 14917 15488 17048 23441 27104 29834 34096 46882 54208 59668 68192 93764 108416 119336 136384 164087 187528 238672 257851 272768 328174 375056 477344 515702 656348 750112 954688 1031404 1312696 1500224 1804957 1909376 2062808 2625392 3000448 3609914 4125616 5250784 7219828 8251232 10501568 14439656 16502464 21003136 28879312 33004928 57758624 115517248 231034496