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229426402904064 = 21133191372336841
BaseRepresentation
bin110100001010100101111111…
…001111110100100000000000
31010002022221122111012020222000
4310022211333033310200000
5220032410233120412224
62131541011240144000
766216340066106502
oct6412457717644000
91102287574166860
10229426402904064
116711421133a483
122189445a168000
139b02a80b31692
14409242353dd72
151b7cd91e380c9
hexd0a97f3f4800

229426402904064 has 768 divisors, whose sum is σ = 723805546464000. Its totient is φ = 71602463047680.

The previous prime is 229426402904063. The next prime is 229426402904107. The reversal of 229426402904064 is 460409204624922.

229426402904064 is a `hidden beast` number, since 2 + 2 + 94 + 2 + 6 + 402 + 90 + 4 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a self number, because there is not a number n which added to its sum of digits gives 229426402904064.

It is not an unprimeable number, because it can be changed into a prime (229426402904063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33536965284 + ... + 33536972124.

It is an arithmetic number, because the mean of its divisors is an integer number (942455138625).

Almost surely, 2229426402904064 is an apocalyptic number.

229426402904064 is a gapful number since it is divisible by the number (24) 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 229426402904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361902773232000).

229426402904064 is an abundant number, since it is smaller than the sum of its proper divisors (494379143559936).

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

229426402904064 is a wasteful number, since it uses less digits than its factorization.

229426402904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 229426402904064 in words is "two hundred twenty-nine trillion, four hundred twenty-six billion, four hundred two million, nine hundred four thousand, sixty-four".