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225300322130 = 251315313113177
BaseRepresentation
bin1101000111010011110…
…0100001011101010010
3210112112120022012211012
43101310330201131102
512142403340302010
6251300155450522
722164103066052
oct3216474413522
9715476265735
10225300322130
1187605181734
12377b8756a42
1318326b36ca0
14ac942c3562
155cd96bb005
hex3474f21752

225300322130 has 32 divisors (see below), whose sum is σ = 436768388784. Its totient is φ = 83181643776.

The previous prime is 225300322123. The next prime is 225300322133. The reversal of 225300322130 is 31223003522.

225300322130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9225026209 + 216075295921 = 96047^2 + 464839^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225300322096 and 225300322105.

It is not an unprimeable number, because it can be changed into a prime (225300322133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1934102 + ... + 2047278.

Almost surely, 2225300322130 is an apocalyptic number.

225300322130 is a deficient number, since it is larger than the sum of its proper divisors (211468066654).

225300322130 is a wasteful number, since it uses less digits than its factorization.

225300322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128510.

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 225300322130 its reverse (31223003522), we get a palindrome (256523325652).

The spelling of 225300322130 in words is "two hundred twenty-five billion, three hundred million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 15313 30626 76565 113177 153130 199069 226354 398138 565885 995345 1131770 1471301 1990690 2942602 7356505 14713010 1733079401 3466158802 8665397005 17330794010 22530032213 45060064426 112650161065 225300322130