221714100 has 54 divisors (see below), whose sum is σ = 694953350. Its totient is φ = 59123520.

The previous prime is 221714099. The next prime is 221714107. The reversal of 221714100 is 1417122.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 221592996 = 348^2 + 14886^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221714107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122275 + ... + 124074.

Almost surely, 2^221714100 is an apocalyptic number.

221714100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221714100 is an abundant number, since it is smaller than the sum of its proper divisors (473239250).

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

221714100 is a wasteful number, since it uses less digits than its factorization.

221714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246369 (or 246359 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 221714100 is about 14890.0671590158. The cubic root of 221714100 is about 605.2448522836.

The spelling of 221714100 in words is "two hundred twenty-one million, seven hundred fourteen thousand, one hundred".