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230119913553880 = 235713116350376519
BaseRepresentation
bin110100010100101011110111…
…101100111111111111011000
31010011210020201102211111202211
4310110223313230333333120
5220130241040332211010
62133231343500204504
766320420660264650
oct6424536754777730
91104706642744684
10230119913553880
1167361341a95249
1221986945539734
139b532a3a0902c
1440b7c12a53360
151b90e3144508a
hexd14af7b3ffd8

230119913553880 has 256 divisors, whose sum is σ = 601112519884800. Its totient is φ = 77659917903360.

The previous prime is 230119913553863. The next prime is 230119913553899. The reversal of 230119913553880 is 88355319911032.

It is a super-2 number, since 2×2301199135538802 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3007318261 + ... + 3007394779.

It is an arithmetic number, because the mean of its divisors is an integer number (2348095780800).

Almost surely, 2230119913553880 is an apocalyptic number.

230119913553880 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 230119913553880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300556259942400).

230119913553880 is an abundant number, since it is smaller than the sum of its proper divisors (370992606330920).

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

230119913553880 is a wasteful number, since it uses less digits than its factorization.

230119913553880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77334 (or 77330 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 230119913553880 in words is "two hundred thirty trillion, one hundred nineteen billion, nine hundred thirteen million, five hundred fifty-three thousand, eight hundred eighty".