42222400 has 84 divisors (see below), whose sum is σ = 113385600. Its totient is φ = 15347200.

The previous prime is 42222391. The next prime is 42222409. The reversal of 42222400 is 422224.

It is an interprime number because it is at equal distance from previous prime (42222391) and next prime (42222409).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16401 + ... + 18799.

Almost surely, 2^42222400 is an apocalyptic number.

42222400 is a gapful number since it is divisible by the number (40) 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 42222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

42222400 is an abundant number, since it is smaller than the sum of its proper divisors (71163200).

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

42222400 is a wasteful number, since it uses less digits than its factorization.

42222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42222400 is about 6497.8765762363. The cubic root of 42222400 is about 348.2151309957.

Adding to 42222400 its reverse (422224), we get a palindrome (42644624).

Multiplying 42222400 by its reverse (422224), we get a square (17827310617600 = 4222240²).

42222400 divided by its reverse (422224) gives a square (100 = 10²).

It can be divided in two parts, 422 and 22400, that added together give a palindrome (22822).

The spelling of 42222400 in words is "forty-two million, two hundred twenty-two thousand, four hundred".