242222400 has 504 divisors, whose sum is σ = 1031808960. Its totient is φ = 54743040.

The previous prime is 242222371. The next prime is 242222417. The reversal of 242222400 is 4222242.

242222400 is a `hidden beast` number, since 2 + 42 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2721556 + ... + 2721644.

It is an arithmetic number, because the mean of its divisors is an integer number (2047240).

Almost surely, 2^242222400 is an apocalyptic number.

242222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515904480).

242222400 is an abundant number, since it is smaller than the sum of its proper divisors (789586560).

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

242222400 is an equidigital number, since it uses as much as digits as its factorization.

242222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

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

The square root of 242222400 is about 15563.4957512764. The cubic root of 242222400 is about 623.3588088253.

Adding to 242222400 its reverse (4222242), we get a palindrome (246444642).

The spelling of 242222400 in words is "two hundred forty-two million, two hundred twenty-two thousand, four hundred".