4222597200 has 240 divisors, whose sum is σ = 14198198400. Its totient is φ = 1071257600.

The previous prime is 4222597177. The next prime is 4222597201. The reversal of 4222597200 is 27952224.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4222597200² = 35660654226895680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222597201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2469946 + ... + 2471654.

It is an arithmetic number, because the mean of its divisors is an integer number (59159160).

Almost surely, 2^4222597200 is an apocalyptic number.

4222597200 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 4222597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099099200).

4222597200 is an abundant number, since it is smaller than the sum of its proper divisors (9975601200).

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

4222597200 is a wasteful number, since it uses less digits than its factorization.

4222597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4222597200 is about 64981.5142944515. The cubic root of 4222597200 is about 1616.3170411029.

The spelling of 4222597200 in words is "four billion, two hundred twenty-two million, five hundred ninety-seven thousand, two hundred".