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230200033032 = 233241316724623
BaseRepresentation
bin1101011001100011111…
…1011011111100001000
3211000012000222022121100
43112120333123330020
512232422202024112
6253430305341400
722426366665354
oct3263077337410
9730160868540
10230200033032
1189699a0aa92
1238745637860
1318927c805c8
14b1dad1a464
155ec49122dc
hex3598fdbf08

230200033032 has 96 divisors (see below), whose sum is σ = 638892334080. Its totient is φ = 74835121920.

The previous prime is 230200032949. The next prime is 230200033043. The reversal of 230200033032 is 230330002032.

230200033032 is a `hidden beast` number, since 2 + 302 + 0 + 0 + 0 + 330 + 32 = 666.

It is a super-2 number, since 2×2302000330322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230200032996 and 230200033014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9336673 + ... + 9361295.

It is an arithmetic number, because the mean of its divisors is an integer number (6655128480).

Almost surely, 2230200033032 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 230200033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319446167040).

230200033032 is an abundant number, since it is smaller than the sum of its proper divisors (408692301048).

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

230200033032 is a wasteful number, since it uses less digits than its factorization.

230200033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27843 (or 27836 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 230200033032 its reverse (230330002032), we get a palindrome (460530035064).

The spelling of 230200033032 in words is "two hundred thirty billion, two hundred million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3167 6334 9501 12668 19002 24623 25336 28503 38004 49246 57006 73869 76008 98492 114012 129847 147738 196984 221607 228024 259694 295476 389541 443214 519388 590952 779082 886428 1009543 1038776 1168623 1558164 1772856 2019086 2337246 3028629 3116328 4038172 4674492 6057258 8076344 9085887 9348984 12114516 18171774 24229032 36343548 72687096 77981041 155962082 233943123 311924164 467886246 623848328 701829369 935772492 1403658738 1871544984 2807317476 3197222681 5614634952 6394445362 9591668043 12788890724 19183336086 25577781448 28775004129 38366672172 57550008258 76733344344 115100016516 230200033032