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228902835168 = 253572701857
BaseRepresentation
bin1101010100101110101…
…1000001001111100000
3210212211122001211200000
43111023223001033200
512222243111211133
6253053450100000
722352265665400
oct3251353011740
9725748054600
10228902835168
1189093757037
123844311a600
131877c2b6bc7
14b116928800
155e4aac7413
hex354bac13e0

228902835168 has 432 divisors, whose sum is σ = 787301699184. Its totient is φ = 65231308800.

The previous prime is 228902835149. The next prime is 228902835281. The reversal of 228902835168 is 861538209822.

It is a happy number.

228902835168 is a `hidden beast` number, since 2 + 289 + 0 + 2 + 8 + 351 + 6 + 8 = 666.

228902835168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267097396 + ... + 267098252.

It is an arithmetic number, because the mean of its divisors is an integer number (1822457637).

Almost surely, 2228902835168 is an apocalyptic number.

228902835168 is a gapful number since it is divisible by the number (28) 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 228902835168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393650849592).

228902835168 is an abundant number, since it is smaller than the sum of its proper divisors (558398864016).

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

228902835168 is an equidigital number, since it uses as much as digits as its factorization.

228902835168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 228902835168 in words is "two hundred twenty-eight billion, nine hundred two million, eight hundred thirty-five thousand, one hundred sixty-eight".