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230099821943772 = 2231131223601419567
BaseRepresentation
bin110100010100011001001010…
…001001100101101111011100
31010011201022212012220222002010
4310110121022021211233130
5220124423413404200042
62133214222055231220
766316110043361124
oct6424311211455734
91104638765828063
10230099821943772
11673538718851a0
1221982a78978510
139b51421367641
1440b6c68521c84
151b9065763059c
hexd1464a265bdc

230099821943772 has 192 divisors, whose sum is σ = 608325641699328. Its totient is φ = 67063429440000.

The previous prime is 230099821943737. The next prime is 230099821943777. The reversal of 230099821943772 is 277349128990032.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230099821943777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548212333 + ... + 548631899.

It is an arithmetic number, because the mean of its divisors is an integer number (3168362717184).

Almost surely, 2230099821943772 is an apocalyptic number.

230099821943772 is a gapful number since it is divisible by the number (22) 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 230099821943772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304162820849664).

230099821943772 is an abundant number, since it is smaller than the sum of its proper divisors (378225819755556).

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

230099821943772 is a wasteful number, since it uses less digits than its factorization.

230099821943772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420440 (or 420438 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 230099821943772 in words is "two hundred thirty trillion, ninety-nine billion, eight hundred twenty-one million, nine hundred forty-three thousand, seven hundred seventy-two".