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228310038 = 232113473323
BaseRepresentation
bin11011001101110…
…11110000010110
3120220121100111100
431212323300112
5431421410123
634353250530
75441413635
oct1546736026
9526540440
10228310038
11107969790
1264563a46
13383b9cc8
142247151c
151509c643
hexd9bbc16

228310038 has 48 divisors (see below), whose sum is σ = 541359936. Its totient is φ = 68964720.

The previous prime is 228310031. The next prime is 228310039. The reversal of 228310038 is 830013822.

It is a super-2 number, since 2×2283100382 = 104250946903122888, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 228309993 and 228310020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228310031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67045 + ... + 70367.

It is an arithmetic number, because the mean of its divisors is an integer number (11278332).

Almost surely, 2228310038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228310038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270679968).

228310038 is an abundant number, since it is smaller than the sum of its proper divisors (313049898).

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

228310038 is a wasteful number, since it uses less digits than its factorization.

228310038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 228310038 is about 15109.9317668876. The cubic root of 228310038 is about 611.1882580316.

It can be divided in two parts, 2283 and 10038, that added together give a palindrome (12321).

The spelling of 228310038 in words is "two hundred twenty-eight million, three hundred ten thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 347 694 1041 2082 3123 3323 3817 6246 6646 7634 9969 11451 19938 22902 29907 34353 36553 59814 68706 73106 109659 219318 328977 657954 1153081 2306162 3459243 6918486 10377729 12683891 20755458 25367782 38051673 76103346 114155019 228310038