36223200 has 360 divisors, whose sum is σ = 145568808. Its totient is φ = 8709120.

The previous prime is 36223199. The next prime is 36223217. The reversal of 36223200 is 232263.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 842379 + ... + 842421.

Almost surely, 2^36223200 is an apocalyptic number.

36223200 is a gapful number since it is divisible by the number (30) 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 36223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72784404).

36223200 is an abundant number, since it is smaller than the sum of its proper divisors (109345608).

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

36223200 is a wasteful number, since it uses less digits than its factorization.

36223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 36223200 is about 6018.5712590282. The cubic root of 36223200 is about 330.8737177354.

Adding to 36223200 its reverse (232263), we get a palindrome (36455463).

The spelling of 36223200 in words is "thirty-six million, two hundred twenty-three thousand, two hundred".