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2272207392 = 2532713181479
BaseRepresentation
bin1000011101101111…
…0010001000100000
312212100120002120100
42013123302020200
514123141114032
61013245142400
7110210305230
oct20733621040
95770502510
102272207392
11a66669054
12534b5aa00
132a2993b20
14177ab5cc0
15d473197c
hex876f2220

2272207392 has 288 divisors, whose sum is σ = 8013358080. Its totient is φ = 594708480.

The previous prime is 2272207373. The next prime is 2272207393. The reversal of 2272207392 is 2937022722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2272207393) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4743409 + ... + 4743887.

It is an arithmetic number, because the mean of its divisors is an integer number (27824160).

Almost surely, 22272207392 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 2272207392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006679040).

2272207392 is an abundant number, since it is smaller than the sum of its proper divisors (5741150688).

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

2272207392 is a wasteful number, since it uses less digits than its factorization.

2272207392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2272207392 is about 47667.6765953618. The cubic root of 2272207392 is about 1314.6676895506.

The spelling of 2272207392 in words is "two billion, two hundred seventy-two million, two hundred seven thousand, three hundred ninety-two".