240222420 has 36 divisors (see below), whose sum is σ = 728675220. Its totient is φ = 64059264.

The previous prime is 240222371. The next prime is 240222431. The reversal of 240222420 is 24222042.

240222420 is a `hidden beast` number, since 24 + 0 + 222 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157703364 + 82519056 = 12558^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×240222420² = 115413622141312800, 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 = 240222393 and 240222402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667105 + ... + 667464.

Almost surely, 2^240222420 is an apocalyptic number.

240222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240222420 is an abundant number, since it is smaller than the sum of its proper divisors (488452800).

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

240222420 is a wasteful number, since it uses less digits than its factorization.

240222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334584 (or 1334579 counting only the distinct ones).

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

The square root of 240222420 is about 15499.1102970461. The cubic root of 240222420 is about 621.6384170986.

Adding to 240222420 its reverse (24222042), we get a palindrome (264444462).

The spelling of 240222420 in words is "two hundred forty million, two hundred twenty-two thousand, four hundred twenty".