224013468 has 96 divisors (see below), whose sum is σ = 636862464. Its totient is φ = 59894208.

The previous prime is 224013467. The next prime is 224013469. The reversal of 224013468 is 864310422.

224013468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224013467) and next prime (224013469).

224013468 is a modest number, since divided by 13468 gives 224 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224013467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89571 + ... + 92037.

It is an arithmetic number, because the mean of its divisors is an integer number (6633984).

Almost surely, 2^224013468 is an apocalyptic number.

224013468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224013468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318431232).

224013468 is an abundant number, since it is smaller than the sum of its proper divisors (412848996).

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

224013468 is a wasteful number, since it uses less digits than its factorization.

224013468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 224013468 is about 14967.0794746337. The cubic root of 224013468 is about 607.3299657920.

The spelling of 224013468 in words is "two hundred twenty-four million, thirteen thousand, four hundred sixty-eight".