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229160826816 = 26331671972917
BaseRepresentation
bin1101010101101100001…
…1001011011111000000
3210220111121112011200020
43111123003023133000
512223310132424231
6253135223453440
722361550613545
oct3253303133700
9726447464606
10229160826816
1189206348a79
12384b55b7280
13187c0896c9c
14b13ccc4bcc
155e63589396
hex355b0cb7c0

229160826816 has 224 divisors, whose sum is σ = 638664947712. Its totient is φ = 72425041920.

The previous prime is 229160826803. The next prime is 229160826877. The reversal of 229160826816 is 618628061922.

It is a happy number.

229160826816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78558990 + ... + 78561906.

Almost surely, 2229160826816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229160826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319332473856).

229160826816 is an abundant number, since it is smaller than the sum of its proper divisors (409504120896).

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

229160826816 is a wasteful number, since it uses less digits than its factorization.

229160826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 229160826816 in words is "two hundred twenty-nine billion, one hundred sixty million, eight hundred twenty-six thousand, eight hundred sixteen".