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2166466272 = 253142315859
BaseRepresentation
bin1000000100100001…
…1010011011100000
312120222120220000120
42001020122123200
513414103410042
6554550520240
7104454442125
oct20110323340
95528526016
102166466272
11a11a061a3
12505666080
13286ac0109
14167a2c74c
15ca2e5dec
hex8121a6e0

2166466272 has 48 divisors (see below), whose sum is σ = 5691329280. Its totient is φ = 721602432.

The previous prime is 2166466271. The next prime is 2166466283. The reversal of 2166466272 is 2726646612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×21664662723 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166466271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128679 + ... + 144537.

It is an arithmetic number, because the mean of its divisors is an integer number (118569360).

Almost surely, 22166466272 is an apocalyptic number.

It is an amenable number.

2166466272 is an abundant number, since it is smaller than the sum of its proper divisors (3524863008).

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

2166466272 is a wasteful number, since it uses less digits than its factorization.

2166466272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17295 (or 17287 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 2166466272 is about 46545.3141787656. The cubic root of 2166466272 is about 1293.9494512542.

The spelling of 2166466272 in words is "two billion, one hundred sixty-six million, four hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1423 2846 4269 5692 8538 11384 15859 17076 22768 31718 34152 45536 47577 63436 68304 95154 126872 136608 190308 253744 380616 507488 761232 1522464 22567357 45134714 67702071 90269428 135404142 180538856 270808284 361077712 541616568 722155424 1083233136 2166466272