4018222800 has 90 divisors (see below), whose sum is σ = 13944361782. Its totient is φ = 1071525120.

The previous prime is 4018222781. The next prime is 4018222801. The reversal of 4018222800 is 82228104.

4018222800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 763748496 + 3254474304 = 27636^2 + 57048^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×4018222800² = 32292228940879680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4018222801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 554487 + ... + 561686.

Almost surely, 2^4018222800 is an apocalyptic number.

4018222800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4018222800 is an abundant number, since it is smaller than the sum of its proper divisors (9926138982).

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

4018222800 is a wasteful number, since it uses less digits than its factorization.

4018222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116197 (or 1116183 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4018222800 is about 63389.4533814577. The cubic root of 4018222800 is about 1589.8079749113.

The spelling of 4018222800 in words is "four billion, eighteen million, two hundred twenty-two thousand, eight hundred".