220427433009 has 81 divisors (see below), whose sum is σ = 376455960153. Its totient is φ = 123924672144.

The previous prime is 220427432987. The next prime is 220427433019. The reversal of 220427433009 is 900334724022.

It is a happy number.

The square root of 220427433009 is 469497.

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

220427433009 is a `hidden beast` number, since 220 + 427 + 4 + 3 + 3 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 220427433009 - 2⁵ = 220427432977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220427433019) 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, 778895382 + ... + 778895664.

Almost surely, 2^220427433009 is an apocalyptic number.

220427433009 is the 469497-th square number.

220427433009 is the 234749-th centered octagonal number.

It is an amenable number.

220427433009 is a deficient number, since it is larger than the sum of its proper divisors (156028527144).

220427433009 is an frugal number, since it uses more digits than its factorization.

220427433009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 220427433009 by its sum of digits (36), we get a square (7935387588324 = 2816982²).

The spelling of 220427433009 in words is "two hundred twenty billion, four hundred twenty-seven million, four hundred thirty-three thousand, nine".