4222075200 has 504 divisors, whose sum is σ = 16696029600. Its totient is φ = 930263040.

The previous prime is 4222075199. The next prime is 4222075211. The reversal of 4222075200 is 25702224.

4222075200 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 (24).

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, 6820491 + ... + 6821109.

Almost surely, 2^4222075200 is an apocalyptic number.

4222075200 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 4222075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348014800).

4222075200 is an abundant number, since it is smaller than the sum of its proper divisors (12473954400).

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

4222075200 is a wasteful number, since it uses less digits than its factorization.

4222075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4222075200 is about 64977.4976434150. The cubic root of 4222075200 is about 1616.2504349973.

Adding to 4222075200 its reverse (25702224), we get a palindrome (4247777424).

The spelling of 4222075200 in words is "four billion, two hundred twenty-two million, seventy-five thousand, two hundred".