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2290832280 = 23345111719199
BaseRepresentation
bin1000100010001011…
…0101001110011000
312220122121100010000
42020202311032120
514142423113110
61015152253000
7110524516212
oct21042651630
95818540100
102290832280
11a7612a220
1253b241160
132a67b5379
1417a3635b2
15d61b01c0
hex888b5398

2290832280 has 640 divisors, whose sum is σ = 9408960000. Its totient is φ = 492687360.

The previous prime is 2290832273. The next prime is 2290832329. The reversal of 2290832280 is 822380922.

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

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 159 ways as a sum of consecutive naturals, for example, 11511621 + ... + 11511819.

It is an arithmetic number, because the mean of its divisors is an integer number (14701500).

Almost surely, 22290832280 is an apocalyptic number.

2290832280 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 2290832280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704480000).

2290832280 is an abundant number, since it is smaller than the sum of its proper divisors (7118127720).

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

2290832280 is a wasteful number, since it uses less digits than its factorization.

2290832280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2290832280 is about 47862.6397099032. The cubic root of 2290832280 is about 1318.2499535537.

The spelling of 2290832280 in words is "two billion, two hundred ninety million, eight hundred thirty-two thousand, two hundred eighty".