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2145568320 = 263257106427
BaseRepresentation
bin111111111100010…
…1100011001000000
312112112021011102100
41333320230121000
513343231141240
6552522550400
7104112013140
oct17770543100
95475234370
102145568320
11a01132265
124ba668400
1328268406c
14164d4c920
15c8568e30
hex7fe2c640

2145568320 has 168 divisors, whose sum is σ = 8434206144. Its totient is φ = 490411008.

The previous prime is 2145568319. The next prime is 2145568333. The reversal of 2145568320 is 238655412.

2145568320 is a `hidden beast` number, since 2 + 1 + 4 + 556 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33054 + ... + 73373.

It is an arithmetic number, because the mean of its divisors is an integer number (50203608).

Almost surely, 22145568320 is an apocalyptic number.

2145568320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145568320 is an abundant number, since it is smaller than the sum of its proper divisors (6288637824).

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

2145568320 is a wasteful number, since it uses less digits than its factorization.

2145568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106457 (or 106444 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2145568320 is about 46320.2797919011. The cubic root of 2145568320 is about 1289.7754792233.

The spelling of 2145568320 in words is "two billion, one hundred forty-five million, five hundred sixty-eight thousand, three hundred twenty".