228705120 has 240 divisors, whose sum is σ = 922809888. Its totient is φ = 52254720.

The previous prime is 228705101. The next prime is 228705121. The reversal of 228705120 is 21507822.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228705121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89460 + ... + 91980.

Almost surely, 2^228705120 is an apocalyptic number.

228705120 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 228705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461404944).

228705120 is an abundant number, since it is smaller than the sum of its proper divisors (694104768).

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

228705120 is a wasteful number, since it uses less digits than its factorization.

228705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 228705120 is about 15122.9997024400. Note that the first 3 decimals coincide. The cubic root of 228705120 is about 611.5406010276.

The spelling of 228705120 in words is "two hundred twenty-eight million, seven hundred five thousand, one hundred twenty".