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230332817880 = 2332511437691759
BaseRepresentation
bin1101011010000011100…
…1111110000111011000
3211000112021211111011200
43112200321332013120
512233210200133010
6253451411354200
722432601435244
oct3264071760730
9730467744150
10230332817880
1189757964230
1238781bb2960
1318949632819
14b210803424
155ed13e0cc0
hex35a0e7e1d8

230332817880 has 384 divisors, whose sum is σ = 837188352000. Its totient is φ = 54437806080.

The previous prime is 230332817791. The next prime is 230332817899. The reversal of 230332817880 is 88718233032.

230332817880 is a `hidden beast` number, since 2 + 303 + 328 + 17 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130944441 + ... + 130946199.

It is an arithmetic number, because the mean of its divisors is an integer number (2180178000).

Almost surely, 2230332817880 is an apocalyptic number.

230332817880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230332817880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418594176000).

230332817880 is an abundant number, since it is smaller than the sum of its proper divisors (606855534120).

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

230332817880 is a wasteful number, since it uses less digits than its factorization.

230332817880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 230332817880 in words is "two hundred thirty billion, three hundred thirty-two million, eight hundred seventeen thousand, eight hundred eighty".