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225613335760 = 2452820166697
BaseRepresentation
bin1101001000011110011…
…0100100110011010000
3210120100101021221210121
43102013212210303100
512144024003221020
6251351220440024
722204623466201
oct3220746446320
9716311257717
10225613335760
118775593448a
1237885549014
1318376940257
14acc3ac35a8
155d06deabaa
hex34879a4cd0

225613335760 has 20 divisors (see below), whose sum is σ = 524551005828. Its totient is φ = 90245334272.

The previous prime is 225613335721. The next prime is 225613335799. The reversal of 225613335760 is 67533316522.

It is an interprime number because it is at equal distance from previous prime (225613335721) and next prime (225613335799).

It can be written as a sum of positive squares in 2 ways, for example, as 125866010176 + 99747325584 = 354776^2 + 315828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1410083269 + ... + 1410083428.

Almost surely, 2225613335760 is an apocalyptic number.

225613335760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225613335760 is an abundant number, since it is smaller than the sum of its proper divisors (298937670068).

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

225613335760 is a wasteful number, since it uses less digits than its factorization.

225613335760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820166710 (or 2820166704 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 225613335760 in words is "two hundred twenty-five billion, six hundred thirteen million, three hundred thirty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2820166697 5640333394 11280666788 14100833485 22561333576 28201666970 45122667152 56403333940 112806667880 225613335760