22400209 has 8 divisors (see below), whose sum is σ = 24955560. Its totient is φ = 19963776.

The previous prime is 22400173. The next prime is 22400219. The reversal of 22400209 is 90200422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2624400 + 19775809 = 1620^2 + 4447^2 .

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 22400209 - 2⁹ = 22399697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22400219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29332 + ... + 30085.

It is an arithmetic number, because the mean of its divisors is an integer number (3119445).

Almost surely, 2^22400209 is an apocalyptic number.

22400209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

22400209 is a deficient number, since it is larger than the sum of its proper divisors (2555351).

22400209 is a wasteful number, since it uses less digits than its factorization.

22400209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59459.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 22400209 is about 4732.8859060831. The cubic root of 22400209 is about 281.8928259974.

The spelling of 22400209 in words is "twenty-two million, four hundred thousand, two hundred nine".