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2240947296 = 253471131093
BaseRepresentation
bin1000010110010010…
…0010010001100000
312210011201220210000
42011210202101200
514042140303141
61010211140000
7106350511020
oct20544422140
95704656700
102240947296
11a4aa57965
125265a4600
1329936a423
14173899a80
15d1b095b6
hex85922460

2240947296 has 240 divisors, whose sum is σ = 7605680544. Its totient is φ = 634023936.

The previous prime is 2240947249. The next prime is 2240947333. The reversal of 2240947296 is 6927490422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2049726 + ... + 2050818.

Almost surely, 22240947296 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 2240947296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802840272).

2240947296 is an abundant number, since it is smaller than the sum of its proper divisors (5364733248).

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

2240947296 is a wasteful number, since it uses less digits than its factorization.

2240947296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2240947296 is about 47338.6448475239. The cubic root of 2240947296 is about 1308.6109426067.

The spelling of 2240947296 in words is "two billion, two hundred forty million, nine hundred forty-seven thousand, two hundred ninety-six".