224102144 has 72 divisors (see below), whose sum is σ = 518031360. Its totient is φ = 94768128.

The previous prime is 224102113. The next prime is 224102149. The reversal of 224102144 is 441201422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224102149) 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, 140777 + ... + 142359.

It is an arithmetic number, because the mean of its divisors is an integer number (7194880).

Almost surely, 2^224102144 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 224102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

224102144 is an abundant number, since it is smaller than the sum of its proper divisors (293929216).

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

224102144 is an equidigital number, since it uses as much as digits as its factorization.

224102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 224102144 is about 14970.0415497085. The cubic root of 224102144 is about 607.4100926520.

Adding to 224102144 its reverse (441201422), we get a palindrome (665303566).

The spelling of 224102144 in words is "two hundred twenty-four million, one hundred two thousand, one hundred forty-four".