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231411456 = 2832472137
BaseRepresentation
bin11011100101100…
…00111100000000
3121010102220211200
431302300330000
5433220131311
634543541200
75506651653
oct1562607400
9533386750
10231411456
11109697941
12655ba800
1338c34873
1422a3b89a
15154b1556
hexdcb0f00

231411456 has 108 divisors (see below), whose sum is σ = 681731232. Its totient is φ = 75460608.

The previous prime is 231411451. The next prime is 231411493. The reversal of 231411456 is 654114132.

It is a happy number.

231411456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231411451) 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, 107220 + ... + 109356.

Almost surely, 2231411456 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 231411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340865616).

231411456 is an abundant number, since it is smaller than the sum of its proper divisors (450319776).

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

231411456 is a wasteful number, since it uses less digits than its factorization.

231411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2189 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 231411456 is about 15212.2140400403. The cubic root of 231411456 is about 613.9433292700.

Adding to 231411456 its reverse (654114132), we get a palindrome (885525588).

The spelling of 231411456 in words is "two hundred thirty-one million, four hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 2137 2256 2304 3008 3384 4274 4512 6016 6411 6768 8548 9024 12032 12822 13536 17096 18048 19233 25644 27072 34192 36096 38466 51288 54144 68384 76932 100439 102576 108288 136768 153864 200878 205152 273536 301317 307728 401756 410304 547072 602634 615456 803512 820608 903951 1205268 1230912 1607024 1641216 1807902 2410536 2461824 3214048 3615804 4821072 4923648 6428096 7231608 9642144 12856192 14463216 19284288 25712384 28926432 38568576 57852864 77137152 115705728 231411456