228526080 has 192 divisors, whose sum is σ = 752431680. Its totient is φ = 59179008.

The previous prime is 228526031. The next prime is 228526093. The reversal of 228526080 is 80625822.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320874 + ... + 1321046.

It is an arithmetic number, because the mean of its divisors is an integer number (3918915).

Almost surely, 2^228526080 is an apocalyptic number.

228526080 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 228526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376215840).

228526080 is an abundant number, since it is smaller than the sum of its proper divisors (523905600).

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

228526080 is a wasteful number, since it uses less digits than its factorization.

228526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 228526080 is about 15117.0790829446. The cubic root of 228526080 is about 611.3809794549.

228526080 divided by its product of nonzero digits (15360) gives a triangular number (14878 = T₁₇₂).

The spelling of 228526080 in words is "two hundred twenty-eight million, five hundred twenty-six thousand, eighty".