224488992 has 144 divisors (see below), whose sum is σ = 738424512. Its totient is φ = 59189760.

The previous prime is 224488991. The next prime is 224488997. The reversal of 224488992 is 299884422.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (224488991) 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, 59317 + ... + 62987.

It is an arithmetic number, because the mean of its divisors is an integer number (5127948).

Almost surely, 2^224488992 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 224488992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369212256).

224488992 is an abundant number, since it is smaller than the sum of its proper divisors (513935520).

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

224488992 is a wasteful number, since it uses less digits than its factorization.

224488992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3696 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 224488992 is about 14982.9567175508. The cubic root of 224488992 is about 607.7593981056.

It can be divided in two parts, 2 and 24488992, that multiplied together give a palindrome (48977984).

The spelling of 224488992 in words is "two hundred twenty-four million, four hundred eighty-eight thousand, nine hundred ninety-two".