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225303021 = 32128919421
BaseRepresentation
bin11010110110111…
…01100111101101
3120200221120122100
431123131213231
5430134144041
634205005313
75404021056
oct1533354755
9520846570
10225303021
111061a5549
1263553839
13378a63c8
1421ccb72d
1514ba66b6
hexd6dd9ed

225303021 has 12 divisors (see below), whose sum is σ = 325706940. Its totient is φ = 150077760.

The previous prime is 225303019. The next prime is 225303031. The reversal of 225303021 is 120303522.

It can be written as a sum of positive squares in 2 ways, for example, as 206066025 + 19236996 = 14355^2 + 4386^2 .

It is not a de Polignac number, because 225303021 - 21 = 225303019 is a prime.

It is a super-2 number, since 2×2253030212 = 101522902543452882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225302985 and 225303003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225303011) 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 11 ways as a sum of consecutive naturals, for example, 1891 + ... + 21311.

It is an arithmetic number, because the mean of its divisors is an integer number (27142245).

Almost surely, 2225303021 is an apocalyptic number.

It is an amenable number.

225303021 is a deficient number, since it is larger than the sum of its proper divisors (100403919).

225303021 is a wasteful number, since it uses less digits than its factorization.

225303021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20716 (or 20713 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 225303021 is about 15010.0973014834. The cubic root of 225303021 is about 608.4931192868.

Adding to 225303021 its reverse (120303522), we get a palindrome (345606543).

The spelling of 225303021 in words is "two hundred twenty-five million, three hundred three thousand, twenty-one".

Divisors: 1 3 9 1289 3867 11601 19421 58263 174789 25033669 75101007 225303021