228821934600 has 1296 divisors, whose sum is σ = 974881889280. Its totient is φ = 47925964800.

The previous prime is 228821934589. The next prime is 228821934673. The reversal of 228821934600 is 6439128822.

228821934600 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 2 + 1 + 9 + 34 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1198020505 + ... + 1198020695.

It is an arithmetic number, because the mean of its divisors is an integer number (752223680).

Almost surely, 2^228821934600 is an apocalyptic number.

228821934600 is a gapful number since it is divisible by the number (20) 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 228821934600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487440944640).

228821934600 is an abundant number, since it is smaller than the sum of its proper divisors (746059954680).

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

228821934600 is a wasteful number, since it uses less digits than its factorization.

228821934600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 228821934600 in words is "two hundred twenty-eight billion, eight hundred twenty-one million, nine hundred thirty-four thousand, six hundred".