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228107749916256 = 253719173323774337
BaseRepresentation
bin110011110111011001111001…
…011001110111111001100000
31002220122212222021221211211120
4303313121321121313321200
5214344304132434310011
62125051130442212240
766022145455463340
oct6367317131677140
91086585867854746
10228107749916256
1166755a54086491
1221700987ab4080
139a38612447a62
14404868c94ad20
151b58915671a06
hexcf7679677e60

228107749916256 has 384 divisors, whose sum is σ = 721225402168320. Its totient is φ = 61667640410112.

The previous prime is 228107749916251. The next prime is 228107749916297. The reversal of 228107749916256 is 652619947701822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228107749916251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52595743720 + ... + 52595748056.

It is an arithmetic number, because the mean of its divisors is an integer number (1878191151480).

Almost surely, 2228107749916256 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 228107749916256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360612701084160).

228107749916256 is an abundant number, since it is smaller than the sum of its proper divisors (493117652252064).

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

228107749916256 is a wasteful number, since it uses less digits than its factorization.

228107749916256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 228107749916256 in words is "two hundred twenty-eight trillion, one hundred seven billion, seven hundred forty-nine million, nine hundred sixteen thousand, two hundred fifty-six".