220224096 has 144 divisors (see below), whose sum is σ = 657506304. Its totient is φ = 72503424.

The previous prime is 220224089. The next prime is 220224097. The reversal of 220224096 is 690422022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220224097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987441 + ... + 987663.

It is an arithmetic number, because the mean of its divisors is an integer number (4566016).

Almost surely, 2^220224096 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 220224096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328753152).

220224096 is an abundant number, since it is smaller than the sum of its proper divisors (437282208).

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

220224096 is a wasteful number, since it uses less digits than its factorization.

220224096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220224096 is about 14839.9493260590. The cubic root of 220224096 is about 603.8859776284.

The spelling of 220224096 in words is "two hundred twenty million, two hundred twenty-four thousand, ninety-six".