224948352 has 96 divisors (see below), whose sum is σ = 635047920. Its totient is φ = 70537216.

The previous prime is 224948333. The next prime is 224948357. The reversal of 224948352 is 253849422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×224948352² = 101203522135031808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224948352.

It is not an unprimeable number, because it can be changed into a prime (224948357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109963 + ... + 111989.

Almost surely, 2^224948352 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 224948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317523960).

224948352 is an abundant number, since it is smaller than the sum of its proper divisors (410099568).

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

224948352 is a wasteful number, since it uses less digits than its factorization.

224948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2049 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 224948352 is about 14998.2783011918. The cubic root of 224948352 is about 608.1736576895.

The spelling of 224948352 in words is "two hundred twenty-four million, nine hundred forty-eight thousand, three hundred fifty-two".