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214922185920 = 26355131071987
BaseRepresentation
bin1100100000101001011…
…1000100110011000000
3202112202022000021100000
43020022113010303000
512010130034422140
6242422304200000
721345654303141
oct3101227046300
9675668007300
10214922185920
1183169a75362
12357a1009000
13173619c1aa0
14a58bc4bac8
1558cd517a30
hex320a5c4cc0

214922185920 has 672 divisors, whose sum is σ = 833728267008. Its totient is φ = 52383117312.

The previous prime is 214922185897. The next prime is 214922186009. The reversal of 214922185920 is 29581229412.

214922185920 is a `hidden beast` number, since 2 + 1 + 49 + 2 + 2 + 18 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108163167 + ... + 108165153.

It is an arithmetic number, because the mean of its divisors is an integer number (1240667064).

Almost surely, 2214922185920 is an apocalyptic number.

214922185920 is a gapful number since it is divisible by the number (20) 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 214922185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416864133504).

214922185920 is an abundant number, since it is smaller than the sum of its proper divisors (618806081088).

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

214922185920 is a wasteful number, since it uses less digits than its factorization.

214922185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 214922185920 in words is "two hundred fourteen billion, nine hundred twenty-two million, one hundred eighty-five thousand, nine hundred twenty".