224196960 has 384 divisors, whose sum is σ = 839946240. Its totient is φ = 49766400.

The previous prime is 224196953. The next prime is 224196967. The reversal of 224196960 is 69691422.

It is an interprime number because it is at equal distance from previous prime (224196953) and next prime (224196967).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224196967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3675330 + ... + 3675390.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^224196960 is an apocalyptic number.

224196960 is a gapful number since it is divisible by the number (20) 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 224196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

224196960 is an abundant number, since it is smaller than the sum of its proper divisors (615749280).

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

224196960 is a wasteful number, since it uses less digits than its factorization.

224196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 224196960 is about 14973.2080730884. The cubic root of 224196960 is about 607.4957441826.

The spelling of 224196960 in words is "two hundred twenty-four million, one hundred ninety-six thousand, nine hundred sixty".