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226789999105680 = 243254373463915527
BaseRepresentation
bin110011100100001110101001…
…010101011101011010010000
31002201222220121222022210012200
4303210032221111131122100
5214211211404232340210
62122201515353123200
765525015411424423
oct6344165125353220
91081886558283180
10226789999105680
116629810a10160a
12215295079b9500
13997128893a80a
1440009a1abd9ba
151b344dd1b70c0
hexce43a955d690

226789999105680 has 240 divisors, whose sum is σ = 762023874493440. Its totient is φ = 60446576397312.

The previous prime is 226789999105643. The next prime is 226789999105687. The reversal of 226789999105680 is 86501999987622.

226789999105680 is a `hidden beast` number, since 2 + 267 + 8 + 99 + 99 + 105 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 226789999105680.

It is not an unprimeable number, because it can be changed into a prime (226789999105687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14606162077 + ... + 14606177603.

It is an arithmetic number, because the mean of its divisors is an integer number (3175099477056).

Almost surely, 2226789999105680 is an apocalyptic number.

226789999105680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226789999105680 is an abundant number, since it is smaller than the sum of its proper divisors (535233875387760).

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

226789999105680 is a wasteful number, since it uses less digits than its factorization.

226789999105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24558 (or 24549 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 226789999105680 in words is "two hundred twenty-six trillion, seven hundred eighty-nine billion, nine hundred ninety-nine million, one hundred five thousand, six hundred eighty".