224467152 has 240 divisors, whose sum is σ = 740666880. Its totient is φ = 57328128.

The previous prime is 224467151. The next prime is 224467153. The reversal of 224467152 is 251764422.

It is an interprime number because it is at equal distance from previous prime (224467151) and next prime (224467153).

It is a super-2 number, since 2×224467152² = 100771004653982208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224467151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3350223 + ... + 3350289.

It is an arithmetic number, because the mean of its divisors is an integer number (3086112).

Almost surely, 2^224467152 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 224467152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370333440).

224467152 is an abundant number, since it is smaller than the sum of its proper divisors (516199728).

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

224467152 is a wasteful number, since it uses less digits than its factorization.

224467152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 224467152 is about 14982.2278717152. The cubic root of 224467152 is about 607.7396883110.

It can be divided in two parts, 2244 and 67152, that added together give a palindrome (69396).

The spelling of 224467152 in words is "two hundred twenty-four million, four hundred sixty-seven thousand, one hundred fifty-two".