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2252478440 = 23556311961
BaseRepresentation
bin1000011001000010…
…0001011111101000
312210222102202112102
42012100201133220
514103113302230
61011302232532
7106550515352
oct20620413750
95728382472
102252478440
11a56513433
1252a425748
1329b876ba4
1417521c0d2
15d2b36045
hex864217e8

2252478440 has 16 divisors (see below), whose sum is σ = 5068076580. Its totient is φ = 900991360.

The previous prime is 2252478439. The next prime is 2252478451. The reversal of 2252478440 is 448742522.

It can be written as a sum of positive squares in 2 ways, for example, as 2201298724 + 51179716 = 46918^2 + 7154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2252478394 and 2252478403.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 28155941 + ... + 28156020.

Almost surely, 22252478440 is an apocalyptic number.

2252478440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252478440 is an abundant number, since it is smaller than the sum of its proper divisors (2815598140).

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

2252478440 is a wasteful number, since it uses less digits than its factorization.

2252478440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56311972 (or 56311968 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 38.

The square root of 2252478440 is about 47460.2827635909. The cubic root of 2252478440 is about 1310.8516576097.

The spelling of 2252478440 in words is "two billion, two hundred fifty-two million, four hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 56311961 112623922 225247844 281559805 450495688 563119610 1126239220 2252478440