228214560 has 288 divisors, whose sum is σ = 865976832. Its totient is φ = 50319360.

The previous prime is 228214549. The next prime is 228214583. The reversal of 228214560 is 65412822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728964 + ... + 729276.

It is an arithmetic number, because the mean of its divisors is an integer number (3006864).

Almost surely, 2^228214560 is an apocalyptic number.

228214560 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 228214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432988416).

228214560 is an abundant number, since it is smaller than the sum of its proper divisors (637762272).

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

228214560 is a wasteful number, since it uses less digits than its factorization.

228214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 228214560 is about 15106.7719913951. The cubic root of 228214560 is about 611.1030476316.

The spelling of 228214560 in words is "two hundred twenty-eight million, two hundred fourteen thousand, five hundred sixty".