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2275054400 = 26521421909
BaseRepresentation
bin1000011110011010…
…1001001101000000
312212112220201221002
42013212221031000
514124403220100
61013430151132
7110243433443
oct20746511500
95775821832
102275054400
11a68233053
12535ab24a8
132a344c948
1417821765a
15d4ae52d5
hex879a9340

2275054400 has 42 divisors (see below), whose sum is σ = 5598059670. Its totient is φ = 910021120.

The previous prime is 2275054373. The next prime is 2275054447. The reversal of 2275054400 is 44505722.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 499611904 + 1775442496 = 22352^2 + 42136^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 709355 + ... + 712554.

It is an arithmetic number, because the mean of its divisors is an integer number (133287135).

Almost surely, 22275054400 is an apocalyptic number.

2275054400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2275054400 is an abundant number, since it is smaller than the sum of its proper divisors (3323005270).

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

2275054400 is a wasteful number, since it uses less digits than its factorization.

2275054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421931 (or 1421916 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 2275054400 is about 47697.5303343894. The cubic root of 2275054400 is about 1315.2165401669.

The spelling of 2275054400 in words is "two billion, two hundred seventy-five million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1421909 2843818 5687636 7109545 11375272 14219090 22750544 28438180 35547725 45501088 56876360 71095450 91002176 113752720 142190900 227505440 284381800 455010880 568763600 1137527200 2275054400