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2297270384640 = 21133571129612
BaseRepresentation
bin100001011011011111111…
…111000011100000000000
322010121122201112001101000
4201123133333003200000
5300114302204302030
64515203525012000
7324654334040220
oct41333777034000
98117581461330
102297270384640
118062a3273720
12311287254000
13138829a0a65a
147d28d290080
153eb55c06860
hex216dffc3800

2297270384640 has 2304 divisors, whose sum is σ = 10707645312000. Its totient is φ = 453338726400.

The previous prime is 2297270384623. The next prime is 2297270384659. The reversal of 2297270384640 is 464830727922.

2297270384640 is a `hidden beast` number, since 2 + 297 + 270 + 3 + 8 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37660170210 + ... + 37660170270.

It is an arithmetic number, because the mean of its divisors is an integer number (4647415500).

Almost surely, 22297270384640 is an apocalyptic number.

2297270384640 is a gapful number since it is divisible by the number (20) 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 2297270384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353822656000).

2297270384640 is an abundant number, since it is smaller than the sum of its proper divisors (8410374927360).

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

2297270384640 is a wasteful number, since it uses less digits than its factorization.

2297270384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2297270384640 in words is "two trillion, two hundred ninety-seven billion, two hundred seventy million, three hundred eighty-four thousand, six hundred forty".