2230225920 has 704 divisors, whose sum is σ = 9161389440. Its totient is φ = 509607936.

The previous prime is 2230225919. The next prime is 2230225973. The reversal of 2230225920 is 295220322.

2230225920 is a `hidden beast` number, since 22 + 30 + 22 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30551004 + ... + 30551076.

Almost surely, 2^2230225920 is an apocalyptic number.

2230225920 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 2230225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580694720).

2230225920 is an abundant number, since it is smaller than the sum of its proper divisors (6931163520).

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

2230225920 is a wasteful number, since it uses less digits than its factorization.

2230225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2230225920 is about 47225.2678128986. The cubic root of 2230225920 is about 1306.5206741421.

It can be divided in two parts, 2230 and 225920, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 2230225920 in words is "two billion, two hundred thirty million, two hundred twenty-five thousand, nine hundred twenty".