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2166996612 = 223112337101191
BaseRepresentation
bin1000000100101001…
…1011111010000100
312121000120211111210
42001022123322010
513414222342422
6555010131420
7104462111244
oct20112337204
95530524453
102166996612
11a122386a0
12505880b70
13286c47621
14167b29b24
15ca39d10c
hex8129be84

2166996612 has 192 divisors, whose sum is σ = 6001164288. Its totient is φ = 601920000.

The previous prime is 2166996583. The next prime is 2166996661.

2166996612 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11345437 + ... + 11345627.

It is an arithmetic number, because the mean of its divisors is an integer number (31256064).

Almost surely, 22166996612 is an apocalyptic number.

2166996612 is a gapful number since it is divisible by the number (22) 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 2166996612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000582144).

2166996612 is an abundant number, since it is smaller than the sum of its proper divisors (3834167676).

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

2166996612 is a wasteful number, since it uses less digits than its factorization.

2166996612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 2166996612 is about 46551.0108590565. The cubic root of 2166996612 is about 1294.0550267364.

The spelling of 2166996612 in words is "two billion, one hundred sixty-six million, nine hundred ninety-six thousand, six hundred twelve".