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2290540896 = 253371931643
BaseRepresentation
bin1000100010000110…
…1110000101100000
312220122001112102000
42020201232011200
514142334302041
61015142124000
7110522163540
oct21041560540
95818045360
102290540896
11a75a50306
1253b120600
132a6712857
1417a2c9320
15d6153bb6
hex8886e160

2290540896 has 384 divisors, whose sum is σ = 8309145600. Its totient is φ = 599063040.

The previous prime is 2290540841. The next prime is 2290540897. The reversal of 2290540896 is 6980450922.

2290540896 is a `hidden beast` number, since 2 + 29 + 0 + 540 + 89 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290540897) 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 63 ways as a sum of consecutive naturals, for example, 3561951 + ... + 3562593.

It is an arithmetic number, because the mean of its divisors is an integer number (21638400).

Almost surely, 22290540896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290540896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154572800).

2290540896 is an abundant number, since it is smaller than the sum of its proper divisors (6018604704).

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

2290540896 is a wasteful number, since it uses less digits than its factorization.

2290540896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

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

The square root of 2290540896 is about 47859.5956522827. The cubic root of 2290540896 is about 1318.1940592782.

The spelling of 2290540896 in words is "two billion, two hundred ninety million, five hundred forty thousand, eight hundred ninety-six".