22378200 has 192 divisors, whose sum is σ = 79161600. Its totient is φ = 5184000.

The previous prime is 22378159. The next prime is 22378207. The reversal of 22378200 is 287322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22378207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148125 + ... + 148275.

It is an arithmetic number, because the mean of its divisors is an integer number (412300).

Almost surely, 2^22378200 is an apocalyptic number.

22378200 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 22378200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580800).

22378200 is an abundant number, since it is smaller than the sum of its proper divisors (56783400).

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

22378200 is a wasteful number, since it uses less digits than its factorization.

22378200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 22378200 is about 4730.5602205236. The cubic root of 22378200 is about 281.8004725100.

It can be divided in two parts, 22378 and 200, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 22378200 in words is "twenty-two million, three hundred seventy-eight thousand, two hundred".