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230395898880 = 2103357343113
BaseRepresentation
bin1101011010010010101…
…0100110110000000000
3211000200200112100001000
43112210222212300000
512233322322231010
6253501543412000
722434265554000
oct3264452466000
9730620470030
10230395898880
118978a529994
123879b154000
131895971ac64
14b218d44000
155ed6c017c0
hex35a4aa6c00

230395898880 has 1408 divisors, whose sum is σ = 985704192000. Its totient is φ = 50982027264.

The previous prime is 230395898869. The next prime is 230395898881. The reversal of 230395898880 is 88898593032.

230395898880 is a `hidden beast` number, since 230 + 395 + 8 + 9 + 8 + 8 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230395898881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2038901704 + ... + 2038901816.

It is an arithmetic number, because the mean of its divisors is an integer number (700074000).

Almost surely, 2230395898880 is an apocalyptic number.

230395898880 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 230395898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492852096000).

230395898880 is an abundant number, since it is smaller than the sum of its proper divisors (755308293120).

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

230395898880 is a wasteful number, since it uses less digits than its factorization.

230395898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 230395898880 in words is "two hundred thirty billion, three hundred ninety-five million, eight hundred ninety-eight thousand, eight hundred eighty".