110400228 has 36 divisors (see below), whose sum is σ = 282211020. Its totient is φ = 36385536.

The previous prime is 110400197. The next prime is 110400229. The reversal of 110400228 is 822004011.

It can be written as a sum of positive squares in 2 ways, for example, as 44595684 + 65804544 = 6678^2 + 8112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 110400228.

It is not an unprimeable number, because it can be changed into a prime (110400229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14025 + ... + 20432.

It is an arithmetic number, because the mean of its divisors is an integer number (7839195).

Almost surely, 2^110400228 is an apocalyptic number.

110400228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110400228 is an abundant number, since it is smaller than the sum of its proper divisors (171810792).

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

110400228 is a wasteful number, since it uses less digits than its factorization.

110400228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34556 (or 34551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 110400228 is about 10507.1512790099. The cubic root of 110400228 is about 479.7223915592.

Adding to 110400228 its reverse (822004011), we get a palindrome (932404239).

The spelling of 110400228 in words is "one hundred ten million, four hundred thousand, two hundred twenty-eight".