228212020217160 has 3072 divisors, whose sum is σ = 939466476748800. Its totient is φ = 48756538220544.

The previous prime is 228212020217149. The next prime is 228212020217161. The reversal of 228212020217160 is 61712020212822.

It is a happy number.

228212020217160 is a `hidden beast` number, since 2 + 2 + 82 + 1 + 202 + 0 + 217 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (228212020217161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1796945041017 + ... + 1796945041143.

It is an arithmetic number, because the mean of its divisors is an integer number (305815910400).

Almost surely, 2^{228212020217160} is an apocalyptic number.

228212020217160 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 228212020217160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469733238374400).

228212020217160 is an abundant number, since it is smaller than the sum of its proper divisors (711254456531640).

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

228212020217160 is a wasteful number, since it uses less digits than its factorization.

228212020217160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 228212020217160 its reverse (61712020212822), we get a palindrome (289924040429982).

The spelling of 228212020217160 in words is "two hundred twenty-eight trillion, two hundred twelve billion, twenty million, two hundred seventeen thousand, one hundred sixty".