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2295401472 = 2103272131723
BaseRepresentation
bin1000100011010001…
…0000110000000000
312220222012110212100
42020310100300000
514200110321342
61015434230400
7110611406400
oct21064206000
95828173770
102295401472
11a78770111
12540885400
132a7725030
1417abd2800
15d67b3e4c
hex88d10c00

2295401472 has 792 divisors, whose sum is σ = 9173769696. Its totient is φ = 544997376.

The previous prime is 2295401467. The next prime is 2295401477. The reversal of 2295401472 is 2741045922.

It is an interprime number because it is at equal distance from previous prime (2295401467) and next prime (2295401477).

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 (2295401477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99800053 + ... + 99800075.

Almost surely, 22295401472 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 2295401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586884848).

2295401472 is an abundant number, since it is smaller than the sum of its proper divisors (6878368224).

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

2295401472 is a wasteful number, since it uses less digits than its factorization.

2295401472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2295401472 is about 47910.3482767554. The cubic root of 2295401472 is about 1319.1258123699.

The spelling of 2295401472 in words is "two billion, two hundred ninety-five million, four hundred one thousand, four hundred seventy-two".