1822468200 has 192 divisors, whose sum is σ = 6478930560. Its totient is φ = 415134720.

The previous prime is 1822468177. The next prime is 1822468223. The reversal of 1822468200 is 28642281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1822468177) and next prime (1822468223).

It is a super-2 number, since 2×1822468200² = 6642780680022480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1666854 + ... + 1667946.

It is an arithmetic number, because the mean of its divisors is an integer number (33744430).

Almost surely, 2^1822468200 is an apocalyptic number.

1822468200 is a gapful number since it is divisible by the number (10) 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 1822468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239465280).

1822468200 is an abundant number, since it is smaller than the sum of its proper divisors (4656462360).

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

1822468200 is a wasteful number, since it uses less digits than its factorization.

1822468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1822468200 is about 42690.3759646129. The cubic root of 1822468200 is about 1221.4808230247.

The spelling of 1822468200 in words is "one billion, eight hundred twenty-two million, four hundred sixty-eight thousand, two hundred".