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2259239080 = 2357219231103
BaseRepresentation
bin1000011010101001…
…0100000010101000
312211110011020101111
42012222110002220
514111331122310
61012103200104
7106662133600
oct20652240250
95743136344
102259239080
11a5a31083a
12530746034
132a00a3177
1417609bc00
15d351e28a
hex86a940a8

2259239080 has 288 divisors, whose sum is σ = 6504675840. Its totient is φ = 703261440.

The previous prime is 2259239069. The next prime is 2259239083. The reversal of 2259239080 is 809329522.

It is a super-2 number, since 2×22592390802 = 10208322441198492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259239083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21934309 + ... + 21934411.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 22259239080 is an apocalyptic number.

2259239080 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 2259239080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252337920).

2259239080 is an abundant number, since it is smaller than the sum of its proper divisors (4245436760).

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

2259239080 is a wasteful number, since it uses less digits than its factorization.

2259239080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2259239080 is about 47531.4535860203. The cubic root of 2259239080 is about 1312.1618210204.

The spelling of 2259239080 in words is "two billion, two hundred fifty-nine million, two hundred thirty-nine thousand, eighty".