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228355680 = 2535731973
BaseRepresentation
bin11011001110001…
…10111001100000
3120220200200002210
431213012321200
5431424340210
634354242120
75441664000
oct1547067140
9526620083
10228355680
111079a0003
1264586340
1338404a07
1422484000
15150aae20
hexd9c6e60

228355680 has 384 divisors, whose sum is σ = 895104000. Its totient is φ = 48771072.

The previous prime is 228355669. The next prime is 228355681. The reversal of 228355680 is 86553822.

228355680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228355681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3128124 + ... + 3128196.

It is an arithmetic number, because the mean of its divisors is an integer number (2331000).

Almost surely, 2228355680 is an apocalyptic number.

228355680 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 228355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447552000).

228355680 is an abundant number, since it is smaller than the sum of its proper divisors (666748320).

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

228355680 is a wasteful number, since it uses less digits than its factorization.

228355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 228355680 is about 15111.4420225206. The cubic root of 228355680 is about 611.2289833482.

The spelling of 228355680 in words is "two hundred twenty-eight million, three hundred fifty-five thousand, six hundred eighty".