221284416 has 28 divisors (see below), whose sum is σ = 585482192. Its totient is φ = 73761408.

The previous prime is 221284411. The next prime is 221284433. The reversal of 221284416 is 614482122.

It is a super-2 number, since 2×221284416² = 97933585528922112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221284411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 576070 + ... + 576453.

Almost surely, 2^221284416 is an apocalyptic number.

It is an amenable number.

221284416 is an abundant number, since it is smaller than the sum of its proper divisors (364197776).

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

221284416 is a wasteful number, since it uses less digits than its factorization.

221284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152538 (or 1152528 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 221284416 is about 14875.6316168424. The cubic root of 221284416 is about 604.8536093685.

The spelling of 221284416 in words is "two hundred twenty-one million, two hundred eighty-four thousand, four hundred sixteen".