2229433200 has 240 divisors, whose sum is σ = 8192332800. Its totient is φ = 575251200.

The previous prime is 2229433189. The next prime is 2229433201. The reversal of 2229433200 is 23349222.

2229433200 is a `hidden beast` number, since 2 + 2 + 29 + 433 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2229433200³ (a number of 29 digits) contains 333 as substring.

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 (2229433201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331471 + ... + 338129.

It is an arithmetic number, because the mean of its divisors is an integer number (34134720).

Almost surely, 2^2229433200 is an apocalyptic number.

2229433200 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 2229433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096166400).

2229433200 is an abundant number, since it is smaller than the sum of its proper divisors (5962899600).

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

2229433200 is a wasteful number, since it uses less digits than its factorization.

2229433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2229433200 is about 47216.8741023800. The cubic root of 2229433200 is about 1306.3658575686.

The spelling of 2229433200 in words is "two billion, two hundred twenty-nine million, four hundred thirty-three thousand, two hundred".