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225300101 = 1329597613
BaseRepresentation
bin11010110110111…
…00111010000101
3120200221102122012
431123130322011
5430134100401
634204544005
75404006415
oct1533347205
9520842565
10225300101
111061a3334
1263552005
13378a4c90
1421cca645
1514ba58bb
hexd6dce85

225300101 has 8 divisors (see below), whose sum is σ = 250997880. Its totient is φ = 200797632.

The previous prime is 225300083. The next prime is 225300107. The reversal of 225300101 is 101003522.

It is a happy number.

It is a Cunningham number, because it is equal to 150102+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 225300100 = 1^2 + 15010^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225300101 - 214 = 225283717 is a prime.

It is a super-2 number, since 2×2253001012 = 101520271021220402, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225300107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298430 + ... + 299183.

It is an arithmetic number, because the mean of its divisors is an integer number (31374735).

Almost surely, 2225300101 is an apocalyptic number.

It is an amenable number.

225300101 is a deficient number, since it is larger than the sum of its proper divisors (25697779).

225300101 is a wasteful number, since it uses less digits than its factorization.

225300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597655.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 225300101 is about 15010.0000333111. Note that the first 4 decimals coincide. The cubic root of 225300101 is about 608.4904905196.

Adding to 225300101 its reverse (101003522), we get a palindrome (326303623).

The spelling of 225300101 in words is "two hundred twenty-five million, three hundred thousand, one hundred one".

Divisors: 1 13 29 377 597613 7768969 17330777 225300101