1133200224 has 144 divisors (see below), whose sum is σ = 3485113632. Its totient is φ = 347203584.

The previous prime is 1133200217. The next prime is 1133200249. The reversal of 1133200224 is 4220023311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1133200197 and 1133200206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171389 + ... + 1172355.

It is an arithmetic number, because the mean of its divisors is an integer number (24202178).

Almost surely, 2^1133200224 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 1133200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742556816).

1133200224 is an abundant number, since it is smaller than the sum of its proper divisors (2351913408).

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

1133200224 is a wasteful number, since it uses less digits than its factorization.

1133200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1133200224 is about 33663.0394349649. The cubic root of 1133200224 is about 1042.5627821342.

Adding to 1133200224 its reverse (4220023311), we get a palindrome (5353223535).

The spelling of 1133200224 in words is "one billion, one hundred thirty-three million, two hundred thousand, two hundred twenty-four".