228214224 has 240 divisors, whose sum is σ = 779176320. Its totient is φ = 60963840.

The previous prime is 228214199. The next prime is 228214243. The reversal of 228214224 is 422412822.

228214224 is a `hidden beast` number, since 228 + 214 + 224 = 666.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 1081479 + ... + 1081689.

It is an arithmetic number, because the mean of its divisors is an integer number (3246568).

Almost surely, 2^228214224 is an apocalyptic number.

228214224 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 228214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389588160).

228214224 is an abundant number, since it is smaller than the sum of its proper divisors (550962096).

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

228214224 is a wasteful number, since it uses less digits than its factorization.

228214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 228214224 is about 15106.7608705506. The cubic root of 228214224 is about 611.1027477227.

The spelling of 228214224 in words is "two hundred twenty-eight million, two hundred fourteen thousand, two hundred twenty-four".