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2250324560 = 245115574591
BaseRepresentation
bin1000011000100001…
…0011101001010000
312210211101022222002
42012020103221100
514102040341220
61011144133132
7106523305001
oct20610235120
95724338862
102250324560
11a55282170
125297671a8
1329b2a16c3
14174c1b1a8
15d285cc75
hex86213a50

2250324560 has 80 divisors (see below), whose sum is σ = 5719133952. Its totient is φ = 816652800.

The previous prime is 2250324553. The next prime is 2250324581. The reversal of 2250324560 is 654230522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 487865 + ... + 492455.

Almost surely, 22250324560 is an apocalyptic number.

2250324560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859566976).

2250324560 is an abundant number, since it is smaller than the sum of its proper divisors (3468809392).

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

2250324560 is a wasteful number, since it uses less digits than its factorization.

2250324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2250324560 is about 47437.5859419511. The cubic root of 2250324560 is about 1310.4337005808.

The spelling of 2250324560 in words is "two billion, two hundred fifty million, three hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 557 880 1114 2228 2785 4456 4591 5570 6127 8912 9182 11140 12254 18364 22280 22955 24508 30635 36728 44560 45910 49016 50501 61270 73456 91820 98032 101002 122540 183640 202004 245080 252505 367280 404008 490160 505010 808016 1010020 2020040 2557187 4040080 5114374 10228748 12785935 20457496 25571870 28129057 40914992 51143740 56258114 102287480 112516228 140645285 204574960 225032456 281290570 450064912 562581140 1125162280 2250324560