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2245630880 = 25518017793
BaseRepresentation
bin1000010111011001…
…1001101110100000
312210111112212110002
42011312121232200
514044340142010
61010455355132
7106435355543
oct20566315640
95714485402
102245630880
11a52666799
12528082aa8
1329a31a18c
1417435885a
15d22321a5
hex85d99ba0

2245630880 has 48 divisors (see below), whose sum is σ = 5308929864. Its totient is φ = 897638400.

The previous prime is 2245630867. The next prime is 2245630901. The reversal of 2245630880 is 880365422.

It can be written as a sum of positive squares in 4 ways, for example, as 1968874384 + 276756496 = 44372^2 + 16636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284264 + ... + 292056.

Almost surely, 22245630880 is an apocalyptic number.

2245630880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245630880 is an abundant number, since it is smaller than the sum of its proper divisors (3063298984).

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

2245630880 is a wasteful number, since it uses less digits than its factorization.

2245630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609 (or 9601 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2245630880 is about 47388.0879546749. The cubic root of 2245630880 is about 1309.5219746464.

The spelling of 2245630880 in words is "two billion, two hundred forty-five million, six hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1801 3602 7204 7793 9005 14408 15586 18010 28816 31172 36020 38965 57632 62344 72040 77930 124688 144080 155860 249376 288160 311720 623440 1246880 14035193 28070386 56140772 70175965 112281544 140351930 224563088 280703860 449126176 561407720 1122815440 2245630880