228120144 has 80 divisors (see below), whose sum is σ = 713132928. Its totient is φ = 61341696.

The previous prime is 228120107. The next prime is 228120157. The reversal of 228120144 is 441021822.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14257 + ... + 25680.

Almost surely, 2^228120144 is an apocalyptic number.

228120144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228120144 is an abundant number, since it is smaller than the sum of its proper divisors (485012784).

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

228120144 is a wasteful number, since it uses less digits than its factorization.

228120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39972 (or 39966 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 228120144 is about 15103.6467119699. The cubic root of 228120144 is about 611.0187616509.

Adding to 228120144 its reverse (441021822), we get a palindrome (669141966).

The spelling of 228120144 in words is "two hundred twenty-eight million, one hundred twenty thousand, one hundred forty-four".