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2290498560 = 2103557263
BaseRepresentation
bin1000100010000110…
…0011110000000000
312220121222101100000
42020201203300000
514142331423220
61015141200000
7110521626240
oct21041436000
95817871300
102290498560
11a75a21519
1253b100000
132a66c94bc
1417a2b7b20
15d6146390
hex88863c00

2290498560 has 528 divisors, whose sum is σ = 9442008576. Its totient is φ = 521551872.

The previous prime is 2290498543. The next prime is 2290498597. The reversal of 2290498560 is 658940922.

2290498560 is a `hidden beast` number, since 22 + 90 + 498 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708989 + ... + 8709251.

It is an arithmetic number, because the mean of its divisors is an integer number (17882592).

Almost surely, 22290498560 is an apocalyptic number.

2290498560 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 2290498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721004288).

2290498560 is an abundant number, since it is smaller than the sum of its proper divisors (7151510016).

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

2290498560 is an equidigital number, since it uses as much as digits as its factorization.

2290498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2290498560 is about 47859.1533564897. The cubic root of 2290498560 is about 1318.1859378475.

The spelling of 2290498560 in words is "two billion, two hundred ninety million, four hundred ninety-eight thousand, five hundred sixty".