228966336 has 168 divisors, whose sum is σ = 707288400. Its totient is φ = 70557696.

The previous prime is 228966329. The next prime is 228966343. The reversal of 228966336 is 633669822.

228966336 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 6 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (228966329) and next prime (228966343).

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

It is a junction number, because it is equal to n+sod(n) for n = 228966291 and 228966300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655890 + ... + 656238.

It is an arithmetic number, because the mean of its divisors is an integer number (4210050).

Almost surely, 2^228966336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353644200).

228966336 is an abundant number, since it is smaller than the sum of its proper divisors (478322064).

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

228966336 is a wasteful number, since it uses less digits than its factorization.

228966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 228966336 is about 15131.6336196724. The cubic root of 228966336 is about 611.7733365414.

The spelling of 228966336 in words is "two hundred twenty-eight million, nine hundred sixty-six thousand, three hundred thirty-six".