225210049 has 9 divisors (see below), whose sum is σ = 231231843. Its totient is φ = 219342312.

The previous prime is 225210031. The next prime is 225210061. The reversal of 225210049 is 940012522.

The square root of 225210049 is 15007.

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

It can be written as a sum of positive squares in only one way, i.e., 165302449 + 59907600 = 12857^2 + 7740^2 .

It is not a de Polignac number, because 225210049 - 2¹⁷ = 225078977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225210019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 645127 + ... + 645475.

It is an arithmetic number, because the mean of its divisors is an integer number (25692427).

Almost surely, 2^225210049 is an apocalyptic number.

225210049 is the 15007-th square number.

225210049 is the 7504-th centered octagonal number.

It is an amenable number.

225210049 is a deficient number, since it is larger than the sum of its proper divisors (6021794).

225210049 is an frugal number, since it uses more digits than its factorization.

225210049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 225210049 is about 608.4094089050.

Multiplying 225210049 by its sum of digits (25), we get a square (5630251225 = 75035²).

The spelling of 225210049 in words is "two hundred twenty-five million, two hundred ten thousand, forty-nine".