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2192568380 = 2252311342181
BaseRepresentation
bin1000001010101111…
…1111000000111100
312122210201000101022
42002223333000330
513442244142010
61001322203312
7105222344432
oct20253770074
95583630338
102192568380
11a25714092
12512353538
1328c32bb52
1416b2a4d52
15cc74ed55
hex82aff03c

2192568380 has 48 divisors (see below), whose sum is σ = 4847217984. Its totient is φ = 831452160.

The previous prime is 2192568337. The next prime is 2192568383. The reversal of 2192568380 is 838652912.

2192568380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21925683802 = 9614712201951648800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192568383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30890 + ... + 73070.

It is an arithmetic number, because the mean of its divisors is an integer number (100983708).

Almost surely, 22192568380 is an apocalyptic number.

2192568380 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 2192568380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423608992).

2192568380 is an abundant number, since it is smaller than the sum of its proper divisors (2654649604).

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

2192568380 is a wasteful number, since it uses less digits than its factorization.

2192568380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42326 (or 42324 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 2192568380 is about 46824.8692470145. The cubic root of 2192568380 is about 1299.1253248419.

The spelling of 2192568380 in words is "two billion, one hundred ninety-two million, five hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1130 2260 2599 5198 10396 12995 25990 42181 51980 84362 168724 210905 421810 843620 970163 1940326 3880652 4766453 4850815 9532906 9701630 19065812 19403260 23832265 47664530 95329060 109628419 219256838 438513676 548142095 1096284190 2192568380