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228880080 = 243451113219
BaseRepresentation
bin11011010010001…
…10111011010000
3120221200022110000
431221012323100
5432043130310
634413410000
75446306602
oct1551067320
9527608400
10228880080
11108218aa0
1264799900
1338559600
142257d172
15151614c0
hexda46ed0

228880080 has 600 divisors, whose sum is σ = 988463520. Its totient is φ = 48522240.

The previous prime is 228880079. The next prime is 228880097. The reversal of 228880080 is 80088822.

228880080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12046311 + ... + 12046329.

Almost surely, 2228880080 is an apocalyptic number.

228880080 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 228880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494231760).

228880080 is an abundant number, since it is smaller than the sum of its proper divisors (759583440).

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

228880080 is a wasteful number, since it uses less digits than its factorization.

228880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 228880080 is about 15128.7831632290. The cubic root of 228880080 is about 611.6965046519.

The spelling of 228880080 in words is "two hundred twenty-eight million, eight hundred eighty thousand, eighty".