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225607215041 = 13411373089621
BaseRepresentation
bin1101001000011100111…
…1001110011111000001
3210120022221202222202022
43102013033032133001
512144020421340131
6251350441331225
722204520454425
oct3220717163701
9716287688668
10225607215041
118775243393a
1237883496b15
13183755a9320
14acc2d6cb85
155d065dc37b
hex34873ce7c1

225607215041 has 16 divisors (see below), whose sum is σ = 250704287568. Its totient is φ = 201690393600.

The previous prime is 225607215023. The next prime is 225607215047. The reversal of 225607215041 is 140512706522.

It can be written as a sum of positive squares in 8 ways, for example, as 10609000000 + 214998215041 = 103000^2 + 463679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225607215041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225607214992 and 225607215010.

It is not an unprimeable number, because it can be changed into a prime (225607215047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471790 + ... + 1617831.

It is an arithmetic number, because the mean of its divisors is an integer number (15669017973).

Almost surely, 2225607215041 is an apocalyptic number.

It is an amenable number.

225607215041 is a deficient number, since it is larger than the sum of its proper divisors (25097072527).

225607215041 is a wasteful number, since it uses less digits than its factorization.

225607215041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089812.

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 225607215041 in words is "two hundred twenty-five billion, six hundred seven million, two hundred fifteen thousand, forty-one".

Divisors: 1 13 41 137 533 1781 5617 73021 3089621 40165073 126674461 423278077 1646767993 5502615001 17354401157 225607215041