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2172590112 = 2537111931499
BaseRepresentation
bin1000000101111111…
…0001100000100000
312121102010000100110
42001133301200200
513422140340422
6555330051320
7104560465650
oct20137614040
95542100313
102172590112
11a15409120
12507719b40
132881555a4
14168784360
15cab0560c
hex817f1820

2172590112 has 384 divisors, whose sum is σ = 7741440000. Its totient is φ = 516326400.

The previous prime is 2172590083. The next prime is 2172590117. The reversal of 2172590112 is 2110952712.

It is a self number, because there is not a number n which added to its sum of digits gives 2172590112.

It is not an unprimeable number, because it can be changed into a prime (2172590117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353639 + ... + 4354137.

It is an arithmetic number, because the mean of its divisors is an integer number (20160000).

Almost surely, 22172590112 is an apocalyptic number.

2172590112 is a gapful number since it is divisible by the number (22) 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 2172590112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720000).

2172590112 is an abundant number, since it is smaller than the sum of its proper divisors (5568849888).

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

2172590112 is a wasteful number, since it uses less digits than its factorization.

2172590112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 2172590112 is about 46611.0513934196. The cubic root of 2172590112 is about 1295.1674846860.

The spelling of 2172590112 in words is "two billion, one hundred seventy-two million, five hundred ninety thousand, one hundred twelve".