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230748585984 = 2203272499
BaseRepresentation
bin1101011011100110110…
…0000000000000000000
3211001121021011200210100
43112321230000000000
512240033114222414
6254000543002400
722446110422200
oct3267154000000
9731537150710
10230748585984
1189950619a34
1238879299400
13189b4805257
14b24db10400
156007b6b609
hex35b9b00000

230748585984 has 378 divisors, whose sum is σ = 776994445500. Its totient is φ = 65796046848.

The previous prime is 230748585973. The next prime is 230748586009. The reversal of 230748585984 is 489585847032.

230748585984 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 48 + 585 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 462421767 + ... + 462422265.

Almost surely, 2230748585984 is an apocalyptic number.

230748585984 is a gapful number since it is divisible by the number (24) 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 230748585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388497222750).

230748585984 is an abundant number, since it is smaller than the sum of its proper divisors (546245859516).

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

230748585984 is an frugal number, since it uses more digits than its factorization.

230748585984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 230748585984 in words is "two hundred thirty billion, seven hundred forty-eight million, five hundred eighty-five thousand, nine hundred eighty-four".