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2289512192 = 28113126227
BaseRepresentation
bin1000100001110111…
…0010111100000000
312220120010021021212
42020131302330000
514142103342232
61015104105252
7110510350442
oct21035627400
95816107255
102289512192
11a75408440
1253a905228
132a6442556
1417a0dc492
15d5eedeb2
hex88772f00

2289512192 has 72 divisors (see below), whose sum is σ = 5146563072. Its totient is φ = 1007078400.

The previous prime is 2289512189. The next prime is 2289512219. The reversal of 2289512192 is 2912159822.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74183 + ... + 100409.

Almost surely, 22289512192 is an apocalyptic number.

2289512192 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 2289512192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573281536).

2289512192 is an abundant number, since it is smaller than the sum of its proper divisors (2857050880).

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

2289512192 is a wasteful number, since it uses less digits than its factorization.

2289512192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26285 (or 26271 counting only the distinct ones).

The product of its digits is 51840, while the sum is 41.

The square root of 2289512192 is about 47848.8473424387. The cubic root of 2289512192 is about 1317.9966918418.

The spelling of 2289512192 in words is "two billion, two hundred eighty-nine million, five hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2728 2816 3968 5456 7936 10912 21824 26227 43648 52454 87296 104908 209816 288497 419632 576994 813037 839264 1153988 1626074 1678528 2307976 3252148 3357056 4615952 6504296 6714112 8943407 9231904 13008592 17886814 18463808 26017184 35773628 36927616 52034368 71547256 73855232 104068736 143094512 208137472 286189024 572378048 1144756096 2289512192