1822126900 has 54 divisors (see below), whose sum is σ = 4346177990. Its totient is φ = 662587200.

The previous prime is 1822126877. The next prime is 1822126967. The reversal of 1822126900 is 96212281.

It can be written as a sum of positive squares in 3 ways, for example, as 199487376 + 1622639524 = 14124^2 + 40282^2 .

It is a super-2 number, since 2×1822126900² = 6640292879407220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63195 + ... + 87394.

Almost surely, 2^1822126900 is an apocalyptic number.

1822126900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1822126900 is an abundant number, since it is smaller than the sum of its proper divisors (2524051090).

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

1822126900 is a wasteful number, since it uses less digits than its factorization.

1822126900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150625 (or 150607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1822126900 is about 42686.3783893644. The cubic root of 1822126900 is about 1221.4045679344.

The spelling of 1822126900 in words is "one billion, eight hundred twenty-two million, one hundred twenty-six thousand, nine hundred".