221514384 has 240 divisors, whose sum is σ = 731953152. Its totient is φ = 56489472.

The previous prime is 221514373. The next prime is 221514389. The reversal of 221514384 is 483415122.

It is not an unprimeable number, because it can be changed into a prime (221514389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2668807 + ... + 2668889.

Almost surely, 2^221514384 is an apocalyptic number.

221514384 is a gapful number since it is divisible by the number (24) 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 221514384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365976576).

221514384 is an abundant number, since it is smaller than the sum of its proper divisors (510438768).

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

221514384 is a wasteful number, since it uses less digits than its factorization.

221514384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 221514384 is about 14883.3592982230. The cubic root of 221514384 is about 605.0630665308.

It can be divided in two parts, 221 and 514384, that added together give a triangular number (514605 = T₁₀₁₄).

The spelling of 221514384 in words is "two hundred twenty-one million, five hundred fourteen thousand, three hundred eighty-four".