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2290466880 = 2632513131467
BaseRepresentation
bin1000100010000101…
…1100000001000000
312220121220202212200
42020201130001000
514142324420010
61015140353200
7110521435002
oct21041340100
95817822780
102290466880
11a759aa739
1253b0a5800
132a66b7c60
1417a2aa372
15d613bcc0
hex8885c040

2290466880 has 336 divisors, whose sum is σ = 8567342784. Its totient is φ = 558305280.

The previous prime is 2290466879. The next prime is 2290466903. The reversal of 2290466880 is 886640922.

2290466880 is a `hidden beast` number, since 22 + 90 + 466 + 8 + 80 = 666.

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

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, 4904407 + ... + 4904873.

It is an arithmetic number, because the mean of its divisors is an integer number (25498044).

Almost surely, 22290466880 is an apocalyptic number.

2290466880 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 2290466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283671392).

2290466880 is an abundant number, since it is smaller than the sum of its proper divisors (6276875904).

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

2290466880 is a wasteful number, since it uses less digits than its factorization.

2290466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2290466880 is about 47858.8223841749. The cubic root of 2290466880 is about 1318.1798605210.

The spelling of 2290466880 in words is "two billion, two hundred ninety million, four hundred sixty-six thousand, eight hundred eighty".