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116214602224 = 247217431991019
BaseRepresentation
bin110110000111011101…
…1100001100111110000
3102002222012021110221211
41230032323201213300
53401001414232344
6125215510125504
711252622551200
oct1541673414760
9362865243854
10116214602224
1145317127806
121a634050894
13ac60b93526
1458a66d6400
1530529c1334
hex1b0eee19f0

116214602224 has 240 divisors, whose sum is σ = 285490656000. Its totient is φ = 45511538688.

The previous prime is 116214602197. The next prime is 116214602243. The reversal of 116214602224 is 422206412611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114047187 + ... + 114048205.

It is an arithmetic number, because the mean of its divisors is an integer number (1189544400).

Almost surely, 2116214602224 is an apocalyptic number.

116214602224 is a gapful number since it is divisible by the number (14) 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 116214602224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142745328000).

116214602224 is an abundant number, since it is smaller than the sum of its proper divisors (169276053776).

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

116214602224 is a wasteful number, since it uses less digits than its factorization.

116214602224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 116214602224 in words is "one hundred sixteen billion, two hundred fourteen million, six hundred two thousand, two hundred twenty-four".