2231434800 has 360 divisors, whose sum is σ = 8978569184. Its totient is φ = 502640640.

The previous prime is 2231434787. The next prime is 2231434801. The reversal of 2231434800 is 84341322.

2231434800 is a `hidden beast` number, since 2 + 2 + 314 + 348 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×2231434800³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231434801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1838994 + ... + 1840206.

Almost surely, 2^2231434800 is an apocalyptic number.

2231434800 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 2231434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489284592).

2231434800 is an abundant number, since it is smaller than the sum of its proper divisors (6747134384).

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

2231434800 is a wasteful number, since it uses less digits than its factorization.

2231434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2231434800 is about 47238.0651593606. The cubic root of 2231434800 is about 1306.7566952871.

The spelling of 2231434800 in words is "two billion, two hundred thirty-one million, four hundred thirty-four thousand, eight hundred".