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230213365632 = 27321910517789
BaseRepresentation
bin1101011001100111001…
…0010010111110000000
3211000012222001200111100
43112121302102332000
512232434110200012
6253431503214400
722426621215045
oct3263162227600
9730188050440
10230213365632
11896a6496a68
1238749ba7400
131892a96b013
14b1dc9cb1cc
155ec5b978dc
hex3599c92f80

230213365632 has 96 divisors (see below), whose sum is σ = 697329477000. Its totient is φ = 72698950656.

The previous prime is 230213365607. The next prime is 230213365639. The reversal of 230213365632 is 236563312032.

230213365632 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 13 + 3 + 6 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2302133656322 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230213365639) 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, 5237007 + ... + 5280782.

Almost surely, 2230213365632 is an apocalyptic number.

It is an amenable number.

230213365632 is an abundant number, since it is smaller than the sum of its proper divisors (467116111368).

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

230213365632 is a wasteful number, since it uses less digits than its factorization.

230213365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517828 (or 10517813 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 230213365632 its reverse (236563312032), we get a palindrome (466776677664).

The spelling of 230213365632 in words is "two hundred thirty billion, two hundred thirteen million, three hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 10517789 21035578 31553367 42071156 63106734 84142312 94660101 126213468 168284624 189320202 199837991 252426936 336569248 378640404 399675982 504853872 599513973 673138496 757280808 799351964 1009707744 1199027946 1346276992 1514561616 1598703928 1798541919 2019415488 2398055892 3029123232 3197407856 3597083838 4038830976 4796111784 6058246464 6394815712 7194167676 9592223568 12116492928 12789631424 14388335352 19184447136 25579262848 28776670704 38368894272 57553341408 76737788544 115106682816 230213365632