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225063607461 = 37111757311843
BaseRepresentation
bin1101000110011011010…
…1100001110010100101
3210111221001212212100020
43101212311201302211
512141412240414321
6251220502105353
722155200045610
oct3214665416245
9714831785306
10225063607461
11874a35a2480
123775141b259
13182b9a96634
14ac70aa5177
155cc3a0d4c6
hex3466d61ca5

225063607461 has 32 divisors (see below), whose sum is σ = 396139465728. Its totient is φ = 110038736640.

The previous prime is 225063607459. The next prime is 225063607487. The reversal of 225063607461 is 164706360522.

225063607461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225063607461 - 21 = 225063607459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225063607441) 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 31 ways as a sum of consecutive naturals, for example, 28651995 + ... + 28659848.

It is an arithmetic number, because the mean of its divisors is an integer number (12379358304).

Almost surely, 2225063607461 is an apocalyptic number.

225063607461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225063607461 is a deficient number, since it is larger than the sum of its proper divisors (171075858267).

225063607461 is a wasteful number, since it uses less digits than its factorization.

225063607461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57311881.

The product of its (nonzero) digits is 362880, while the sum is 42.

Adding to 225063607461 its reverse (164706360522), we get a palindrome (389769967983).

The spelling of 225063607461 in words is "two hundred twenty-five billion, sixty-three million, six hundred seven thousand, four hundred sixty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1309 3927 57311843 171935529 401182901 630430273 974301331 1203548703 1891290819 2922903993 4413011911 6820109317 10717314641 13239035733 20460327951 32151943923 75021202487 225063607461