4228200 has 168 divisors, whose sum is σ = 15247350. Its totient is φ = 1088640.

The previous prime is 4228199. The next prime is 4228243. The reversal of 4228200 is 28224.

It can be written as a sum of positive squares in 3 ways, for example, as 3175524 + 1052676 = 1782^2 + 1026^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145786 + ... + 145814.

Almost surely, 2^4228200 is an apocalyptic number.

4228200 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 4228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623675).

4228200 is an abundant number, since it is smaller than the sum of its proper divisors (11019150).

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

4228200 is a wasteful number, since it uses less digits than its factorization.

4228200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

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

The square root of 4228200 is about 2056.2587385833. The cubic root of 4228200 is about 161.7031601229.

The spelling of 4228200 in words is "four million, two hundred twenty-eight thousand, two hundred".