2228400 has 90 divisors (see below), whose sum is σ = 7745660. Its totient is φ = 593280.

The previous prime is 2228393. The next prime is 2228407. The reversal of 2228400 is 48222.

It is an interprime number because it is at equal distance from previous prime (2228393) and next prime (2228407).

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a d-powerful number, because it can be written as 2⁵ + 2⁷ + 2¹⁷ + 8⁷ + 4² + 0 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2228407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3291 + ... + 3909.

2^2228400 is an apocalyptic number.

2228400 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 2228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872830).

2228400 is an abundant number, since it is smaller than the sum of its proper divisors (5517260).

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

2228400 is a wasteful number, since it uses less digits than its factorization.

2228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

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

The square root of 2228400 is about 1492.7826365550. The cubic root of 2228400 is about 130.6164020653.

It can be divided in two parts, 2228 and 400, that added together give a triangular number (2628 = T₇₂).

The spelling of 2228400 in words is "two million, two hundred twenty-eight thousand, four hundred".