224828136 has 120 divisors (see below), whose sum is σ = 682225830. Its totient is φ = 69144192.

The previous prime is 224828113. The next prime is 224828141. The reversal of 224828136 is 631828422.

It can be written as a sum of positive squares in 3 ways, for example, as 114704100 + 110124036 = 10710^2 + 10494^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 224828136.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 108486 + ... + 110538.

Almost surely, 2^224828136 is an apocalyptic number.

224828136 is a gapful number since it is divisible by the number (26) 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 224828136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341112915).

224828136 is an abundant number, since it is smaller than the sum of its proper divisors (457397694).

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

224828136 is a wasteful number, since it uses less digits than its factorization.

224828136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2071 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 224828136 is about 14994.2701056103. The cubic root of 224828136 is about 608.0652991385.

The spelling of 224828136 in words is "two hundred twenty-four million, eight hundred twenty-eight thousand, one hundred thirty-six".