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230112022400 = 275213371461
BaseRepresentation
bin1101011001001110111…
…1101100111110000000
3210222221220100220201022
43112103233230332000
512232232134204100
6253413443125012
722424250626531
oct3262357547600
9728856326638
10230112022400
1189654268327
1238720073768
1318912977000
14b1cd36a688
155ebbd29e85
hex3593becf80

230112022400 has 384 divisors, whose sum is σ = 625825569600. Its totient is φ = 83586048000.

The previous prime is 230112022373. The next prime is 230112022403. The reversal of 230112022400 is 4220211032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230112022403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499158170 + ... + 499158630.

Almost surely, 2230112022400 is an apocalyptic number.

230112022400 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 230112022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312912784800).

230112022400 is an abundant number, since it is smaller than the sum of its proper divisors (395713547200).

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

230112022400 is an equidigital number, since it uses as much as digits as its factorization.

230112022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 230112022400 its reverse (4220211032), we get a palindrome (234332233432).

The spelling of 230112022400 in words is "two hundred thirty billion, one hundred twelve million, twenty-two thousand, four hundred".