2213420209 has 81 divisors (see below), whose sum is σ = 3131188011. Its totient is φ = 1558196640.

The previous prime is 2213420189. The next prime is 2213420233. The reversal of 2213420209 is 9020243122.

The square root of 2213420209 is 47047.

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

2213420209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 327429025 + 1885991184 = 18095^2 + 43428^2 .

It is not a de Polignac number, because 2213420209 - 2⁵ = 2213420177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2213420239) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47094024 + ... + 47094070.

Almost surely, 2^2213420209 is an apocalyptic number.

2213420209 is the 47047-th square number.

2213420209 is the 23524-th centered octagonal number.

It is an amenable number.

2213420209 is a deficient number, since it is larger than the sum of its proper divisors (917767802).

2213420209 is a wasteful number, since it uses less digits than its factorization.

2213420209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 2213420209 is about 1303.2306647380.

Multiplying 2213420209 by its sum of digits (25), we get a square (55335505225 = 235235²).

The spelling of 2213420209 in words is "two billion, two hundred thirteen million, four hundred twenty thousand, two hundred nine".