221682000 has 80 divisors (see below), whose sum is σ = 714722112. Its totient is φ = 59113600.

The previous prime is 221681983. The next prime is 221682007. The reversal of 221682000 is 286122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221682007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12474 + ... + 24473.

Almost surely, 2^221682000 is an apocalyptic number.

221682000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221682000 is an abundant number, since it is smaller than the sum of its proper divisors (493040112).

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

221682000 is a wasteful number, since it uses less digits than its factorization.

221682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36973 (or 36957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 221682000 is about 14888.9892202258. The cubic root of 221682000 is about 605.2156415456.

The spelling of 221682000 in words is "two hundred twenty-one million, six hundred eighty-two thousand".