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2290798080 = 29325195233
BaseRepresentation
bin1000100010001010…
…1100111000000000
312220122112121012100
42020202230320000
514142421014310
61015151430400
7110524314414
oct21042547000
95818477170
102290798080
11a7610655a
1253b225400
132a67a292c
1417a354d44
15d61a4ec0
hex888ace00

2290798080 has 240 divisors, whose sum is σ = 8352835920. Its totient is φ = 578617344.

The previous prime is 2290798067. The next prime is 2290798121. The reversal of 2290798080 is 808970922.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 435144 + ... + 440376.

It is an arithmetic number, because the mean of its divisors is an integer number (34803483).

Almost surely, 22290798080 is an apocalyptic number.

2290798080 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 2290798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176417960).

2290798080 is an abundant number, since it is smaller than the sum of its proper divisors (6062037840).

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

2290798080 is a wasteful number, since it uses less digits than its factorization.

2290798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2290798080 is about 47862.2824361731. The cubic root of 2290798080 is about 1318.2433934383.

The spelling of 2290798080 in words is "two billion, two hundred ninety million, seven hundred ninety-eight thousand, eighty".