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229856882985600 = 27352131737279139
BaseRepresentation
bin110100010000110110111001…
…110111000000101010000000
31010010212002210101102012101120
4310100312321313000222000
5220111433344021014400
62132510443322232240
766262416560324133
oct6420667167005200
91103762711365346
10229856882985600
116726a8360a8202
1221943979055680
139b34546134910
1440a91bd7da21a
151b8918968bca0
hexd10db9dc0a80

229856882985600 has 1152 divisors, whose sum is σ = 887263364635200. Its totient is φ = 51812015800320.

The previous prime is 229856882985571. The next prime is 229856882985629. The reversal of 229856882985600 is 6589288658922.

It is an interprime number because it is at equal distance from previous prime (229856882985571) and next prime (229856882985629).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2904430831 + ... + 2904509969.

Almost surely, 2229856882985600 is an apocalyptic number.

229856882985600 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 229856882985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443631682317600).

229856882985600 is an abundant number, since it is smaller than the sum of its proper divisors (657406481649600).

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

229856882985600 is a wasteful number, since it uses less digits than its factorization.

229856882985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79270 (or 79216 counting only the distinct ones).

The product of its (nonzero) digits is 2388787200, while the sum is 78.

The spelling of 229856882985600 in words is "two hundred twenty-nine trillion, eight hundred fifty-six billion, eight hundred eighty-two million, nine hundred eighty-five thousand, six hundred".