1682227200 has 270 divisors, whose sum is σ = 5716792956. Its totient is φ = 436469760.

The previous prime is 1682227159. The next prime is 1682227201. The reversal of 1682227200 is 27222861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1682227201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45465582 + ... + 45465618.

Almost surely, 2^1682227200 is an apocalyptic number.

1682227200 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 1682227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858396478).

1682227200 is an abundant number, since it is smaller than the sum of its proper divisors (4034565756).

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

1682227200 is an frugal number, since it uses more digits than its factorization.

1682227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1682227200 is about 41014.9631232310. The cubic root of 1682227200 is about 1189.3094880609.

The spelling of 1682227200 in words is "one billion, six hundred eighty-two million, two hundred twenty-seven thousand, two hundred".