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2122880288 = 25411618049
BaseRepresentation
bin111111010001000…
…1001010100100000
312110221120111021212
41332202021110200
513321424132123
6550352405252
7103415120234
oct17642112440
95427514255
102122880288
1199a346421
124b2b46828
1327aa6c2a9
14161d245c4
15c6586878
hex7e889520

2122880288 has 24 divisors (see below), whose sum is σ = 4281360300. Its totient is φ = 1035550720.

The previous prime is 2122880269. The next prime is 2122880297. The reversal of 2122880288 is 8820882212.

It can be written as a sum of positive squares in 2 ways, for example, as 1388903824 + 733976464 = 37268^2 + 27092^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 807713 + ... + 810336.

Almost surely, 22122880288 is an apocalyptic number.

It is an amenable number.

2122880288 is an abundant number, since it is smaller than the sum of its proper divisors (2158480012).

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

2122880288 is a wasteful number, since it uses less digits than its factorization.

2122880288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618100 (or 1618092 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 2122880288 is about 46074.7250453001. The cubic root of 2122880288 is about 1285.2131726060.

The spelling of 2122880288 in words is "two billion, one hundred twenty-two million, eight hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1618049 3236098 6472196 12944392 25888784 51777568 66340009 132680018 265360036 530720072 1061440144 2122880288