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1225088816 = 24717643429
BaseRepresentation
bin100100100000101…
…0101111100110000
310011101012221220212
41021001111330300
510002110320231
6321321523252
742234040340
oct11101257460
93141187825
101225088816
115795923a6
122a2343528
13166a69c33
14b89c0d20
157284442b
hex49055f30

1225088816 has 40 divisors (see below), whose sum is σ = 2872271520. Its totient is φ = 494152704.

The previous prime is 1225088801. The next prime is 1225088861. The reversal of 1225088816 is 6188805221.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 319811 + ... + 323618.

It is an arithmetic number, because the mean of its divisors is an integer number (71806788).

Almost surely, 21225088816 is an apocalyptic number.

1225088816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1225088816 is an abundant number, since it is smaller than the sum of its proper divisors (1647182704).

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

1225088816 is a wasteful number, since it uses less digits than its factorization.

1225088816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643461 (or 643455 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 1225088816 is about 35001.2687770029. The cubic root of 1225088816 is about 1070.0133389900.

The spelling of 1225088816 in words is "one billion, two hundred twenty-five million, eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 643429 1286858 2573716 4504003 5147432 9008006 10294864 10938293 18016012 21876586 36032024 43753172 72064048 76568051 87506344 153136102 175012688 306272204 612544408 1225088816