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2288272960 = 2657150853
BaseRepresentation
bin1000100001100100…
…0100011001000000
312220110210022101101
42020121010121000
514141244213320
61015021344144
7110463666511
oct21031043100
95813708341
102288272960
11a74741386
1253a408054
132a60ca48c
14179c98a08
15d5d56c0a
hex88644640

2288272960 has 28 divisors (see below), whose sum is σ = 5448950748. Its totient is φ = 915309056.

The previous prime is 2288272937. The next prime is 2288272963. The reversal of 2288272960 is 692728822.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1607689216 + 680583744 = 40096^2 + 26088^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2288272960.

It is not an unprimeable number, because it can be changed into a prime (2288272963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3575107 + ... + 3575746.

Almost surely, 22288272960 is an apocalyptic number.

2288272960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2288272960 is an abundant number, since it is smaller than the sum of its proper divisors (3160677788).

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

2288272960 is an equidigital number, since it uses as much as digits as its factorization.

2288272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150870 (or 7150860 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 2288272960 is about 47835.8961450499. The cubic root of 2288272960 is about 1317.7588539224.

The spelling of 2288272960 in words is "two billion, two hundred eighty-eight million, two hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7150853 14301706 28603412 35754265 57206824 71508530 114413648 143017060 228827296 286034120 457654592 572068240 1144136480 2288272960