221429900 has 36 divisors (see below), whose sum is σ = 496009920. Its totient is φ = 85713600.

The previous prime is 221429899. The next prime is 221429909. The reversal of 221429900 is 9924122.

It is a super-2 number, since 2×221429900² = 98062401228020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221429909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32615 + ... + 38814.

Almost surely, 2^221429900 is an apocalyptic number.

221429900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221429900 is an abundant number, since it is smaller than the sum of its proper divisors (274580020).

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

221429900 is a wasteful number, since it uses less digits than its factorization.

221429900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71474 (or 71467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 221429900 is about 14880.5208242185. The cubic root of 221429900 is about 604.9861345091.

The spelling of 221429900 in words is "two hundred twenty-one million, four hundred twenty-nine thousand, nine hundred".