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2250116560 = 24529719467
BaseRepresentation
bin1000011000011110…
…0000110111010000
312210210222202122101
42012013200313100
514102012212220
61011135450144
7106521450406
oct20607406720
95723882571
102250116560
11a5514a96a
12529686954
1329b22ab23
14174ba5476
15d281b30a
hex861e0dd0

2250116560 has 40 divisors (see below), whose sum is σ = 5233834656. Its totient is φ = 899648640.

The previous prime is 2250116551. The next prime is 2250116563. The reversal of 2250116560 is 656110522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250116563) by changing a digit.

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, 232947 + ... + 242413.

Almost surely, 22250116560 is an apocalyptic number.

2250116560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250116560 is an abundant number, since it is smaller than the sum of its proper divisors (2983718096).

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

2250116560 is a wasteful number, since it uses less digits than its factorization.

2250116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2250116560 is about 47435.3935368939. The cubic root of 2250116560 is about 1310.3933243890.

The spelling of 2250116560 in words is "two billion, two hundred fifty million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2971 5942 9467 11884 14855 18934 23768 29710 37868 47335 47536 59420 75736 94670 118840 151472 189340 237680 378680 757360 28126457 56252914 112505828 140632285 225011656 281264570 450023312 562529140 1125058280 2250116560