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2292378385920 = 2935771600577
BaseRepresentation
bin100001010110111100011…
…001100011111000000000
322010011000210100202201020
4201112330121203320000
5300024242331322140
64513034252305440
7324422162531250
oct41267431437000
98104023322636
102292378385920
11804212922677
12310340a72280
1313822a36445c
147cd476a3960
153e96b4d56d0
hex215bc663e00

2292378385920 has 320 divisors, whose sum is σ = 8493345248256. Its totient is φ = 516591452160.

The previous prime is 2292378385907. The next prime is 2292378385951. The reversal of 2292378385920 is 295838732922.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3516672 + ... + 4117248.

Almost surely, 22292378385920 is an apocalyptic number.

2292378385920 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 2292378385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246672624128).

2292378385920 is an abundant number, since it is smaller than the sum of its proper divisors (6200966862336).

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

2292378385920 is an equidigital number, since it uses as much as digits as its factorization.

2292378385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600681 (or 600665 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 2292378385920 in words is "two trillion, two hundred ninety-two billion, three hundred seventy-eight million, three hundred eighty-five thousand, nine hundred twenty".