402220224 has 126 divisors (see below), whose sum is σ = 1341212964. Its totient is φ = 114912000.

The previous prime is 402220213. The next prime is 402220261. The reversal of 402220224 is 422022204.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×402220224² = 323562217189220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402220197 and 402220206.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21099 + ... + 35349.

Almost surely, 2^402220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670606482).

402220224 is an abundant number, since it is smaller than the sum of its proper divisors (938992740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402220224 is a wasteful number, since it uses less digits than its factorization.

402220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14283 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 402220224 is about 20055.4287912276. The cubic root of 402220224 is about 738.1670144403.

Adding to 402220224 its reverse (422022204), we get a palindrome (824242428).

The spelling of 402220224 in words is "four hundred two million, two hundred twenty thousand, two hundred twenty-four".