224315136 has 288 divisors, whose sum is σ = 741726720. Its totient is φ = 66502656.

The previous prime is 224315111. The next prime is 224315137. The reversal of 224315136 is 631513422.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224315137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2702551 + ... + 2702633.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^224315136 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 224315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

224315136 is an abundant number, since it is smaller than the sum of its proper divisors (517411584).

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

224315136 is a wasteful number, since it uses less digits than its factorization.

224315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 224315136 is about 14977.1538017075. The cubic root of 224315136 is about 607.6024640460.

Adding to 224315136 its reverse (631513422), we get a palindrome (855828558).

The spelling of 224315136 in words is "two hundred twenty-four million, three hundred fifteen thousand, one hundred thirty-six".