4222800 has 240 divisors, whose sum is σ = 16606080. Its totient is φ = 1013760.

The previous prime is 4222793. The next prime is 4222811. The reversal of 4222800 is 82224.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183589 + ... + 183611.

It is an arithmetic number, because the mean of its divisors is an integer number (69192).

Almost surely, 2^4222800 is an apocalyptic number.

4222800 is a gapful number since it is divisible by the number (40) 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 4222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

4222800 is an abundant number, since it is smaller than the sum of its proper divisors (12383280).

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

4222800 is a wasteful number, since it uses less digits than its factorization.

4222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4222800 is about 2054.9452547452. The cubic root of 4222800 is about 161.6342916477.

The spelling of 4222800 in words is "four million, two hundred twenty-two thousand, eight hundred".