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2246049792 = 22132717
BaseRepresentation
bin1000010111100000…
…0000000000000000
312210112100011002100
42011320000000000
514044442043132
61010512350400
7106442052060
oct20570000000
95715304070
102246049792
11a529224a8
12528245400
1329a435a5c
141744273a0
15d22b637c
hex85e00000

2246049792 has 264 divisors, whose sum is σ = 7851735216. Its totient is φ = 603979776.

The previous prime is 2246049769. The next prime is 2246049821. The reversal of 2246049792 is 2979406422.

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 11 ways as a sum of consecutive naturals, for example, 132120568 + ... + 132120584.

Almost surely, 22246049792 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 2246049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925867608).

2246049792 is an abundant number, since it is smaller than the sum of its proper divisors (5605685424).

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

2246049792 is an frugal number, since it uses more digits than its factorization.

2246049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

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

The square root of 2246049792 is about 47392.5077623035. The cubic root of 2246049792 is about 1309.6033979955.

The spelling of 2246049792 in words is "two billion, two hundred forty-six million, forty-nine thousand, seven hundred ninety-two".