221283104 has 48 divisors (see below), whose sum is σ = 501754176. Its totient is φ = 94099200.

The previous prime is 221283091. The next prime is 221283107. The reversal of 221283104 is 401382122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221283104.

It is not an unprimeable number, because it can be changed into a prime (221283107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25574 + ... + 33114.

It is an arithmetic number, because the mean of its divisors is an integer number (10453212).

Almost surely, 2^221283104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221283104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250877088).

221283104 is an abundant number, since it is smaller than the sum of its proper divisors (280471072).

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

221283104 is a wasteful number, since it uses less digits than its factorization.

221283104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 221283104 is about 14875.5875178092. The cubic root of 221283104 is about 604.8524139695.

The spelling of 221283104 in words is "two hundred twenty-one million, two hundred eighty-three thousand, one hundred four".