2243133000 has 448 divisors, whose sum is σ = 8378763120. Its totient is φ = 559872000.

The previous prime is 2243132987. The next prime is 2243133007. The reversal of 2243133000 is 3313422.

2243133000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 352836 + 2242780164 = 594^2 + 47358^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2243133007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12392910 + ... + 12393090.

Almost surely, 2^2243133000 is an apocalyptic number.

2243133000 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 2243133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189381560).

2243133000 is an abundant number, since it is smaller than the sum of its proper divisors (6135630120).

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

2243133000 is a wasteful number, since it uses less digits than its factorization.

2243133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2243133000 is about 47361.7250530426. The cubic root of 2243133000 is about 1309.0362548205.

Adding to 2243133000 its reverse (3313422), we get a palindrome (2246446422).

The spelling of 2243133000 in words is "two billion, two hundred forty-three million, one hundred thirty-three thousand".