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2260048900 = 225222600489
BaseRepresentation
bin1000011010110101…
…1001110000000100
312211111200101020211
42012231121300010
514112033031100
61012132405204
7110002045564
oct20655316004
95744611224
102260048900
11a5a81420a
12530a76804
132a02c7955
1417622cda4
15d362e1ba
hex86b59c04

2260048900 has 18 divisors (see below), whose sum is σ = 4904306330. Its totient is φ = 904019520.

The previous prime is 2260048897. The next prime is 2260048907. The reversal of 2260048900 is 98400622.

It can be written as a sum of positive squares in 3 ways, for example, as 44275716 + 2215773184 = 6654^2 + 47072^2 .

It is not an unprimeable number, because it can be changed into a prime (2260048907) 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 5 ways as a sum of consecutive naturals, for example, 11300145 + ... + 11300344.

Almost surely, 22260048900 is an apocalyptic number.

2260048900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260048900 is an abundant number, since it is smaller than the sum of its proper divisors (2644257430).

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

2260048900 is a wasteful number, since it uses less digits than its factorization.

2260048900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600503 (or 22600496 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2260048900 is about 47539.9716028523. The cubic root of 2260048900 is about 1312.3185829373.

The spelling of 2260048900 in words is "two billion, two hundred sixty million, forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22600489 45200978 90401956 113002445 226004890 452009780 565012225 1130024450 2260048900