4222094400 has 126 divisors (see below), whose sum is σ = 15006371562. Its totient is φ = 1125888000.

The previous prime is 4222094377. The next prime is 4222094411. The reversal of 4222094400 is 44902224.

It can be written as a sum of positive squares in 3 ways, for example, as 526427136 + 3695667264 = 22944^2 + 60792^2 .

It is a super-2 number, since 2×4222094400² = 35652162245022720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132201 + ... + 161000.

It is an arithmetic number, because the mean of its divisors is an integer number (119098187).

Almost surely, 2^4222094400 is an apocalyptic number.

4222094400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222094400 is an abundant number, since it is smaller than the sum of its proper divisors (10784277162).

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

4222094400 is a wasteful number, since it uses less digits than its factorization.

4222094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293229 (or 293211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4222094400 is about 64977.6453867020. The cubic root of 4222094400 is about 1616.2528849743.

Adding to 4222094400 its reverse (44902224), we get a palindrome (4266996624).

The spelling of 4222094400 in words is "four billion, two hundred twenty-two million, ninety-four thousand, four hundred".