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2297233897920 = 2638513174951
BaseRepresentation
bin100001011011011101110…
…011110111100111000000
322010121120011212100000000
4201123131303313213000
5300114213334213140
64515200143000000
7324653411644023
oct41333563674700
98117504770000
102297233897920
11806284712705
12311276b99000
131388222a3c90
147d2884b31ba
153eb528eaa30
hex216ddcf79c0

2297233897920 has 1008 divisors, whose sum is σ = 9357834927168. Its totient is φ = 532102348800.

The previous prime is 2297233897909. The next prime is 2297233897943. The reversal of 2297233897920 is 297983327922.

2297233897920 is a `hidden beast` number, since 2 + 297 + 2 + 338 + 9 + 7 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 463991445 + ... + 463996395.

It is an arithmetic number, because the mean of its divisors is an integer number (9283566396).

Almost surely, 22297233897920 is an apocalyptic number.

2297233897920 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 2297233897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678917463584).

2297233897920 is an abundant number, since it is smaller than the sum of its proper divisors (7060601029248).

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

2297233897920 is an equidigital number, since it uses as much as digits as its factorization.

2297233897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2297233897920 in words is "two trillion, two hundred ninety-seven billion, two hundred thirty-three million, eight hundred ninety-seven thousand, nine hundred twenty".