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225206244481 = 2324724392
BaseRepresentation
bin1101000110111101010…
…1101001010010000001
3210112022000021120112211
43101233111221102001
512142210244310411
6251242555222121
722161551331151
oct3215725512201
9715260246484
10225206244481
1187567065809
1237791147941
13183104b803a
14ac859d4761
155cd12d6221
hex346f569481

225206244481 has 27 divisors (see below), whose sum is σ = 241088300481. Its totient is φ = 210351124104.

The previous prime is 225206244457. The next prime is 225206244521. The reversal of 225206244481 is 184442602522.

It is a happy number.

The square root of 225206244481 is 474559.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 225206244481 - 229 = 224669373569 is a prime.

It is a super-2 number, since 2×2252062444812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225206244281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 512998060 + ... + 512998498.

Almost surely, 2225206244481 is an apocalyptic number.

225206244481 is the 474559-th square number.

225206244481 is the 237280-th centered octagonal number.

It is an amenable number.

225206244481 is a deficient number, since it is larger than the sum of its proper divisors (15882056000).

225206244481 is an frugal number, since it uses more digits than its factorization.

225206244481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 225206244481 in words is "two hundred twenty-five billion, two hundred six million, two hundred forty-four thousand, four hundred eighty-one".

Divisors: 1 23 47 439 529 1081 2209 10097 20633 24863 50807 192721 232231 474559 969751 1168561 4432583 9057887 10914857 22304273 101949409 208331401 425720689 512998279 4791622223 9791575847 225206244481