224439552 has 144 divisors (see below), whose sum is σ = 699048000. Its totient is φ = 70834176.

The previous prime is 224439511. The next prime is 224439569. The reversal of 224439552 is 255934422.

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

It is a super-2 number, since 2×224439552² = 100746225003921408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130474 + ... + 132182.

It is an arithmetic number, because the mean of its divisors is an integer number (4854500).

Almost surely, 2^224439552 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 224439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349524000).

224439552 is an abundant number, since it is smaller than the sum of its proper divisors (474608448).

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

224439552 is a wasteful number, since it uses less digits than its factorization.

224439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1733 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 224439552 is about 14981.3067520827. The cubic root of 224439552 is about 607.7147785001.

The spelling of 224439552 in words is "two hundred twenty-four million, four hundred thirty-nine thousand, five hundred fifty-two".