220401009 has 12 divisors (see below), whose sum is σ = 318485700. Its totient is φ = 146874624.

The previous prime is 220400981. The next prime is 220401011. The reversal of 220401009 is 900104022.

It can be written as a sum of positive squares in 2 ways, for example, as 129618225 + 90782784 = 11385^2 + 9528^2 .

It is not a de Polignac number, because 220401009 - 2¹¹ = 220398961 is a prime.

It is a super-3 number, since 3×220401009³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220400982 and 220401000.

It is not an unprimeable number, because it can be changed into a prime (220401509) 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 11 ways as a sum of consecutive naturals, for example, 41497 + ... + 46505.

It is an arithmetic number, because the mean of its divisors is an integer number (26540475).

Almost surely, 2^220401009 is an apocalyptic number.

It is an amenable number.

220401009 is a deficient number, since it is larger than the sum of its proper divisors (98084691).

220401009 is a wasteful number, since it uses less digits than its factorization.

220401009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 220401009 is about 14845.9088303815. The cubic root of 220401009 is about 604.0476412650.

The spelling of 220401009 in words is "two hundred twenty million, four hundred one thousand, nine".