110224000 has 96 divisors (see below), whose sum is σ = 277385940. Its totient is φ = 43558400.

The previous prime is 110223989. The next prime is 110224013. The reversal of 110224000 is 422011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 74511424 + 35712576 = 8632^2 + 5976^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327959 + ... + 1328041.

Almost surely, 2^110224000 is an apocalyptic number.

110224000 is a gapful number since it is divisible by the number (10) 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 110224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692970).

110224000 is an abundant number, since it is smaller than the sum of its proper divisors (167161940).

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

110224000 is an frugal number, since it uses more digits than its factorization.

110224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 110224000 is about 10498.7618317590. The cubic root of 110224000 is about 479.4670009617.

Multiplying 110224000 by its sum of digits (10), we get a square (1102240000 = 33200²).

110224000 divided by its sum of digits (10) gives a square (11022400 = 3320²).

Adding to 110224000 its reverse (422011), we get a palindrome (110646011).

The spelling of 110224000 in words is "one hundred ten million, two hundred twenty-four thousand".