228153744 has 240 divisors, whose sum is σ = 821114112. Its totient is φ = 57480192.

The previous prime is 228153727. The next prime is 228153763. The reversal of 228153744 is 447351822.

It is a happy number.

228153744 is a `hidden beast` number, since 2 + 2 + 81 + 537 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228153699 and 228153708.

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 47 ways as a sum of consecutive naturals, for example, 301014 + ... + 301770.

Almost surely, 2^228153744 is an apocalyptic number.

228153744 is a gapful number since it is divisible by the number (24) 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 228153744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410557056).

228153744 is an abundant number, since it is smaller than the sum of its proper divisors (592960368).

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

228153744 is a wasteful number, since it uses less digits than its factorization.

228153744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 805 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 228153744 is about 15104.7589851676. The cubic root of 228153744 is about 611.0487593269.

The spelling of 228153744 in words is "two hundred twenty-eight million, one hundred fifty-three thousand, seven hundred forty-four".