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220714842564216 = 23327111323133148761
BaseRepresentation
bin110010001011110100101101…
…110010011010011001111000
31001221111010120212111100100200
4302023310231302122121320
5212412142444144023331
62101230555432402200
764330056361023060
oct6213645562323170
91057433525440320
10220714842564216
1164365703670180
1220908022246360
139620421a55310
143c709265083a0
151a7b4760945e6
hexc8bd2dc9a678

220714842564216 has 384 divisors, whose sum is σ = 837495061079040. Its totient is φ = 50617832601600.

The previous prime is 220714842564211. The next prime is 220714842564253. The reversal of 220714842564216 is 612465248417022.

220714842564216 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 14 + 8 + 42 + 564 + 21 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220714842564211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64916725 + ... + 68232036.

It is an arithmetic number, because the mean of its divisors is an integer number (2180976721560).

Almost surely, 2220714842564216 is an apocalyptic number.

220714842564216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

220714842564216 is an abundant number, since it is smaller than the sum of its proper divisors (616780218514824).

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

220714842564216 is a wasteful number, since it uses less digits than its factorization.

220714842564216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133148827 (or 133148820 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 220714842564216 in words is "two hundred twenty trillion, seven hundred fourteen billion, eight hundred forty-two million, five hundred sixty-four thousand, two hundred sixteen".