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2274638016 = 26372415897
BaseRepresentation
bin1000011110010100…
…0011100011000000
312212112010120202110
42013211003203000
514124301404031
61013413215320
7110240050500
oct20745034300
95775116673
102274638016
11a67a79232
12535931540
132a3335271
14178149a00
15d4a61c46
hex879438c0

2274638016 has 168 divisors, whose sum is σ = 7172864496. Its totient is φ = 633937920.

The previous prime is 2274637999. The next prime is 2274638017. The reversal of 2274638016 is 6108364722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (2274638017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382780 + ... + 388676.

It is an arithmetic number, because the mean of its divisors is an integer number (42695622).

Almost surely, 22274638016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586432248).

2274638016 is an abundant number, since it is smaller than the sum of its proper divisors (4898226480).

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

2274638016 is a wasteful number, since it uses less digits than its factorization.

2274638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2274638016 is about 47693.1652965076. The cubic root of 2274638016 is about 1315.1362976114.

The spelling of 2274638016 in words is "two billion, two hundred seventy-four million, six hundred thirty-eight thousand, sixteen".