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2243479392 = 2532711217541
BaseRepresentation
bin1000010110111000…
…1100011101100000
312210100111120011100
42011232030131200
514043312320032
61010341314400
7106411155150
oct20556143540
95710446140
102243479392
11a51427300
12527405a00
13299a45acb
14173d58760
15d1e5997c
hex85b8c760

2243479392 has 432 divisors, whose sum is σ = 8501534496. Its totient is φ = 547430400.

The previous prime is 2243479373. The next prime is 2243479417. The reversal of 2243479392 is 2939743422.

2243479392 is a `hidden beast` number, since 224 + 34 + 7 + 9 + 392 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4146642 + ... + 4147182.

It is an arithmetic number, because the mean of its divisors is an integer number (19679478).

Almost surely, 22243479392 is an apocalyptic number.

2243479392 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 2243479392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250767248).

2243479392 is an abundant number, since it is smaller than the sum of its proper divisors (6258055104).

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

2243479392 is a wasteful number, since it uses less digits than its factorization.

2243479392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 2243479392 is about 47365.3817888128. The cubic root of 2243479392 is about 1309.1036332517.

The spelling of 2243479392 in words is "two billion, two hundred forty-three million, four hundred seventy-nine thousand, three hundred ninety-two".