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2280122880 = 2935727383
BaseRepresentation
bin1000011111100111…
…1110101000000000
312212220110020120120
42013321332220000
514132202413010
61014130540240
7110334503400
oct20771765000
95786406516
102280122880
11a70085082
12537737680
132a4505949
14178b76800
15d5296e70
hex87e7ea00

2280122880 has 480 divisors, whose sum is σ = 8699068224. Its totient is φ = 507838464.

The previous prime is 2280122863. The next prime is 2280122899. The reversal of 2280122880 is 882210822.

It is a tau number, because it is divible by the number of its divisors (480).

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, 27471319 + ... + 27471401.

Almost surely, 22280122880 is an apocalyptic number.

2280122880 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 2280122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349534112).

2280122880 is an abundant number, since it is smaller than the sum of its proper divisors (6418945344).

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

2280122880 is an equidigital number, since it uses as much as digits as its factorization.

2280122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2280122880 is about 47750.6322471232. The cubic root of 2280122880 is about 1316.1925174819.

The spelling of 2280122880 in words is "two billion, two hundred eighty million, one hundred twenty-two thousand, eight hundred eighty".