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2166455928 = 23371317234359
BaseRepresentation
bin1000000100100001…
…0111111001111000
312120222120100211110
42001020113321320
513414103042203
6554550400320
7104454400020
oct20110277170
95528510743
102166455928
11a119a944a
125056600a0
13286ab84b0
14167a28a80
15ca2e2d03
hex81217e78

2166455928 has 512 divisors, whose sum is σ = 7664025600. Its totient is φ = 493903872.

The previous prime is 2166455903. The next prime is 2166455953. The reversal of 2166455928 is 8295546612.

It is an interprime number because it is at equal distance from previous prime (2166455903) and next prime (2166455953).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36719563 + ... + 36719621.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 22166455928 is an apocalyptic number.

2166455928 is a gapful number since it is divisible by the number (28) 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 2166455928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

2166455928 is an abundant number, since it is smaller than the sum of its proper divisors (5497569672).

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

2166455928 is a wasteful number, since it uses less digits than its factorization.

2166455928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 2166455928 is about 46545.2030611104. The cubic root of 2166455928 is about 1293.9473918892.

The spelling of 2166455928 in words is "two billion, one hundred sixty-six million, four hundred fifty-five thousand, nine hundred twenty-eight".