220257009 has 48 divisors (see below), whose sum is σ = 381763200. Its totient is φ = 125139168.

The previous prime is 220256983. The next prime is 220257013. The reversal of 220257009 is 900752022.

It is a happy number.

220257009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220257009 - 2⁸ = 220256753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220257109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302604 + ... + 303330.

It is an arithmetic number, because the mean of its divisors is an integer number (7953400).

Almost surely, 2^220257009 is an apocalyptic number.

It is an amenable number.

220257009 is a deficient number, since it is larger than the sum of its proper divisors (161506191).

220257009 is a wasteful number, since it uses less digits than its factorization.

220257009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 220257009 is about 14841.0582169871. The cubic root of 220257009 is about 603.9160601814.

The spelling of 220257009 in words is "two hundred twenty million, two hundred fifty-seven thousand, nine".