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230214712752 = 2432792256163
BaseRepresentation
bin1101011001100111011…
…1011011110110110000
3211000020001121010101200
43112121313123312300
512232434431302002
6253431552131200
722426635525363
oct3263167336660
9730201533350
10230214712752
11896a7227092
123874a536b00
131892b02022b
14b1dcc5c0da
155ec5d61b1c
hex3599ddbdb0

230214712752 has 90 divisors (see below), whose sum is σ = 652542695532. Its totient is φ = 75766571712.

The previous prime is 230214712729. The next prime is 230214712757. The reversal of 230214712752 is 257217412032.

230214712752 is a `hidden beast` number, since 2 + 302 + 14 + 71 + 275 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230214712757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 770623 + ... + 1026785.

Almost surely, 2230214712752 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 230214712752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326271347766).

230214712752 is an abundant number, since it is smaller than the sum of its proper divisors (422327982780).

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

230214712752 is a wasteful number, since it uses less digits than its factorization.

230214712752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256335 (or 256247 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 230214712752 in words is "two hundred thirty billion, two hundred fourteen million, seven hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 6241 11376 12482 18723 24964 37446 49928 56169 74892 99856 112338 149784 224676 256163 299568 449352 512326 768489 898704 1024652 1536978 2049304 2305467 3073956 4098608 4610934 6147912 9221868 12295824 18443736 20236877 36887472 40473754 60710631 80947508 121421262 161895016 182131893 242842524 323790032 364263786 485685048 728527572 971370096 1457055144 1598713283 2914110288 3197426566 4796139849 6394853132 9592279698 12789706264 14388419547 19184559396 25579412528 28776839094 38369118792 57553678188 76738237584 115107356376 230214712752