1822872200 has 36 divisors (see below), whose sum is σ = 4239582165. Its totient is φ = 728907360.

The previous prime is 1822872193. The next prime is 1822872239. The reversal of 1822872200 is 22782281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1786414756 + 36457444 = 42266^2 + 6038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=30190.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 602291 + ... + 605309.

Almost surely, 2^1822872200 is an apocalyptic number.

1822872200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1822872200 is an abundant number, since it is smaller than the sum of its proper divisors (2416709965).

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

1822872200 is an frugal number, since it uses more digits than its factorization.

1822872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 1822872200 is about 42695.1074480437. The cubic root of 1822872200 is about 1221.5710745844.

Multiplying 1822872200 by its sum of digits (32), we get a square (58331910400 = 241520²).

The spelling of 1822872200 in words is "one billion, eight hundred twenty-two million, eight hundred seventy-two thousand, two hundred".