2229427200 has 1056 divisors, whose sum is σ = 10234344960. Its totient is φ = 412876800.

The previous prime is 2229427153. The next prime is 2229427201. The reversal of 2229427200 is 27249222.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229427201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76876786 + ... + 76876814.

Almost surely, 2^2229427200 is an apocalyptic number.

2229427200 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 2229427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117172480).

2229427200 is an abundant number, since it is smaller than the sum of its proper divisors (8004917760).

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

2229427200 is a wasteful number, since it uses less digits than its factorization.

2229427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2229427200 is about 47216.8105657297. The cubic root of 2229427200 is about 1306.3646856411.

It can be divided in two parts, 22294 and 27200, that added together give a palindrome (49494).

The spelling of 2229427200 in words is "two billion, two hundred twenty-nine million, four hundred twenty-seven thousand, two hundred".