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2297296995840 = 29335731123383
BaseRepresentation
bin100001011011100001100…
…100100100011000000000
322010121201120121001002000
4201123201210210120000
5300114331012331330
64515210315224000
7324655106163000
oct41334144443000
98117646531060
102297296995840
1180630729a050
12311294148000
13138832397022
147d292a1a000
153eb58211560
hex216e1924600

2297296995840 has 2560 divisors, whose sum is σ = 10861019136000. Its totient is φ = 455413432320.

The previous prime is 2297296995779. The next prime is 2297296995901. The reversal of 2297296995840 is 485996927922.

2297296995840 is a `hidden beast` number, since 2 + 297 + 296 + 9 + 9 + 5 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2297296995779) and next prime (2297296995901).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5998164289 + ... + 5998164671.

It is an arithmetic number, because the mean of its divisors is an integer number (4242585600).

Almost surely, 22297296995840 is an apocalyptic number.

2297296995840 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 2297296995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430509568000).

2297296995840 is an abundant number, since it is smaller than the sum of its proper divisors (8563722140160).

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

2297296995840 is a wasteful number, since it uses less digits than its factorization.

2297296995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

It can be divided in two parts, 22972969 and 95840, that added together give a square (23068809 = 48032).

The spelling of 2297296995840 in words is "two trillion, two hundred ninety-seven billion, two hundred ninety-six million, nine hundred ninety-five thousand, eight hundred forty".