2228814000 has 720 divisors, whose sum is σ = 9581083200. Its totient is φ = 482630400.

The previous prime is 2228813989. The next prime is 2228814001. The reversal of 2228814000 is 4188222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2228814000² = 9935223693192000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2228814001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117305991 + ... + 117306009.

It is an arithmetic number, because the mean of its divisors is an integer number (13307060).

Almost surely, 2^2228814000 is an apocalyptic number.

2228814000 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 2228814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790541600).

2228814000 is an abundant number, since it is smaller than the sum of its proper divisors (7352269200).

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

2228814000 is a wasteful number, since it uses less digits than its factorization.

2228814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2228814000 is about 47210.3166691349. The cubic root of 2228814000 is about 1306.2449035614.

The spelling of 2228814000 in words is "two billion, two hundred twenty-eight million, eight hundred fourteen thousand".