224910009 has 9 divisors (see below), whose sum is σ = 324935013. Its totient is φ = 149910012.

The previous prime is 224910001. The next prime is 224910019. The reversal of 224910009 is 900019422.

The square root of 224910009 is 14997.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 224910009 - 2³ = 224910001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224910001) 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, 42492 + ... + 47490.

Almost surely, 2^224910009 is an apocalyptic number.

224910009 is the 14997-th square number.

224910009 is the 7499-th centered octagonal number.

It is an amenable number.

224910009 is a deficient number, since it is larger than the sum of its proper divisors (100025004).

224910009 is an frugal number, since it uses more digits than its factorization.

224910009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 224910009 is about 608.1391008273.

Multiplying 224910009 by its product of nonzero digits (1296), we get a square (291483371664 = 539892²).

The spelling of 224910009 in words is "two hundred twenty-four million, nine hundred ten thousand, nine".