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2250568960 = 2851758257
BaseRepresentation
bin1000011000100100…
…1111010100000000
312210211211202012221
42012021033110000
514102121201320
61011153300424
7106525343353
oct20611172400
95724752187
102250568960
11a55429852
12529864714
1329b358a13
14174c8229a
15d28aa3aa
hex8624f500

2250568960 has 36 divisors (see below), whose sum is σ = 5390819028. Its totient is φ = 900227072.

The previous prime is 2250568951. The next prime is 2250568967. The reversal of 2250568960 is 698650522.

It can be written as a sum of positive squares in 2 ways, for example, as 1602561024 + 648007936 = 40032^2 + 25456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250568967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 877849 + ... + 880408.

It is an arithmetic number, because the mean of its divisors is an integer number (149744973).

Almost surely, 22250568960 is an apocalyptic number.

2250568960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250568960 is an abundant number, since it is smaller than the sum of its proper divisors (3140250068).

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

2250568960 is an equidigital number, since it uses as much as digits as its factorization.

2250568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758278 (or 1758264 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 2250568960 is about 47440.1618884253. The cubic root of 2250568960 is about 1310.4811394271.

The spelling of 2250568960 in words is "two billion, two hundred fifty million, five hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1758257 3516514 7033028 8791285 14066056 17582570 28132112 35165140 56264224 70330280 112528448 140660560 225056896 281321120 450113792 562642240 1125284480 2250568960