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228148956 = 223273724469
BaseRepresentation
bin11011001100101…
…00011011011100
3120220022011112100
431212110123130
5431401231311
634350005100
75440143210
oct1546243334
9526264470
10228148956
11107869762
12644a6790
13383618a9
142242c940
1515069a56
hexd9946dc

228148956 has 72 divisors (see below), whose sum is σ = 676938080. Its totient is φ = 63421056.

The previous prime is 228148913. The next prime is 228148957. The reversal of 228148956 is 659841822.

228148956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2281489562 = 104103892247779872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228148957) 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, 2911 + ... + 21558.

Almost surely, 2228148956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228148956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338469040).

228148956 is an abundant number, since it is smaller than the sum of its proper divisors (448789124).

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

228148956 is a wasteful number, since it uses less digits than its factorization.

228148956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24523 (or 24518 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 228148956 is about 15104.6004912411. The cubic root of 228148956 is about 611.0444848380.

The spelling of 228148956 in words is "two hundred twenty-eight million, one hundred forty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 24469 48938 73407 97876 146814 171283 220221 293628 342566 440442 513849 685132 880884 905353 1027698 1541547 1810706 2055396 2716059 3083094 3621412 5432118 6166188 6337471 8148177 10864236 12674942 16296354 19012413 25349884 32592708 38024826 57037239 76049652 114074478 228148956