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2245102400 = 26521403189
BaseRepresentation
bin1000010111010001…
…1000101101000000
312210110120000111202
42011310120231000
514044221234100
61010440200332
7106431025022
oct20564305500
95713500452
102245102400
11a52335732
12527a690a8
1329a193778
1417425c012
15d217a7d5
hex85d18b40

2245102400 has 42 divisors (see below), whose sum is σ = 5524359030. Its totient is φ = 898040320.

The previous prime is 2245102373. The next prime is 2245102403. The reversal of 2245102400 is 42015422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6677056 + 2238425344 = 2584^2 + 47312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245102403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 699995 + ... + 703194.

Almost surely, 22245102400 is an apocalyptic number.

2245102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245102400 is an abundant number, since it is smaller than the sum of its proper divisors (3279256630).

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

2245102400 is a wasteful number, since it uses less digits than its factorization.

2245102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403211 (or 1403196 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2245102400 is about 47382.5115417070. The cubic root of 2245102400 is about 1309.4192402692.

Adding to 2245102400 its reverse (42015422), we get a palindrome (2287117822).

The spelling of 2245102400 in words is "two billion, two hundred forty-five million, one hundred two 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 1403189 2806378 5612756 7015945 11225512 14031890 22451024 28063780 35079725 44902048 56127560 70159450 89804096 112255120 140318900 224510240 280637800 449020480 561275600 1122551200 2245102400