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226319181094368 = 25341922972000653
BaseRepresentation
bin110011011101011000001010…
…011001010001110111100000
31002200022220100212011200210000
4303131120022121101313200
5214131003140330004433
62121201332501140000
765446010200363215
oct6335301231216740
91080286325150700
10226319181094368
116612647566513a
122147220b9ba600
139938a65566a8b
143dc5c9a40bb0c
151b27134479113
hexcdd60a651de0

226319181094368 has 240 divisors, whose sum is σ = 700935290914320. Its totient is φ = 71438065219584.

The previous prime is 226319181094351. The next prime is 226319181094373. The reversal of 226319181094368 is 863490181913622.

226319181094368 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 1 + 9 + 181 + 0 + 94 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112122330 + ... + 114122982.

It is an arithmetic number, because the mean of its divisors is an integer number (2920563712143).

Almost surely, 2226319181094368 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 226319181094368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350467645457160).

226319181094368 is an abundant number, since it is smaller than the sum of its proper divisors (474616109819952).

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

226319181094368 is a wasteful number, since it uses less digits than its factorization.

226319181094368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002991 (or 2002974 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 226319181094368 in words is "two hundred twenty-six trillion, three hundred nineteen billion, one hundred eighty-one million, ninety-four thousand, three hundred sixty-eight".