4200222400 has 84 divisors (see below), whose sum is σ = 11274780600. Its totient is φ = 1527347200.

The previous prime is 4200222379. The next prime is 4200222401. The reversal of 4200222400 is 42220024.

4200222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4200222401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101725 + ... + 136924.

Almost surely, 2^4200222400 is an apocalyptic number.

4200222400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200222400 is an abundant number, since it is smaller than the sum of its proper divisors (7074558200).

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

4200222400 is a wasteful number, since it uses less digits than its factorization.

4200222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238682 (or 238667 counting only the distinct ones).

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

The square root of 4200222400 is about 64809.1228146162. The cubic root of 4200222400 is about 1613.4571238180.

Adding to 4200222400 its reverse (42220024), we get a palindrome (4242442424).

The spelling of 4200222400 in words is "four billion, two hundred million, two hundred twenty-two thousand, four hundred".