224377472 has 128 divisors (see below), whose sum is σ = 516283200. Its totient is φ = 96215040.

The previous prime is 224377463. The next prime is 224377501. The reversal of 224377472 is 274773422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×224377472² = 100690499882221568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 3073628 + ... + 3073700.

Almost surely, 2^224377472 is an apocalyptic number.

224377472 is a gapful number since it is divisible by the number (22) 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 224377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258141600).

224377472 is an abundant number, since it is smaller than the sum of its proper divisors (291905728).

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

224377472 is a wasteful number, since it uses less digits than its factorization.

224377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 131712, while the sum is 38.

The square root of 224377472 is about 14979.2346934014. The cubic root of 224377472 is about 607.6587420127.

The spelling of 224377472 in words is "two hundred twenty-four million, three hundred seventy-seven thousand, four hundred seventy-two".