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227996928 = 2832175821
BaseRepresentation
bin11011001011011…
…11010100000000
3120220000102222200
431211233110000
5431331400203
634342433200
75435641035
oct1545572400
9526012880
10227996928
11107775515
1264432800
133830a633
14223cd38c
15150399a3
hexd96f500

227996928 has 108 divisors (see below), whose sum is σ = 696159828. Its totient is φ = 71516160.

The previous prime is 227996893. The next prime is 227996929. The reversal of 227996928 is 829699722.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 188457984 + 39538944 = 13728^2 + 6288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227996929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36258 + ... + 42078.

Almost surely, 2227996928 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 227996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348079914).

227996928 is an abundant number, since it is smaller than the sum of its proper divisors (468162900).

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

227996928 is a wasteful number, since it uses less digits than its factorization.

227996928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5843 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 227996928 is about 15099.5671461138. The cubic root of 227996928 is about 610.9087306739.

The spelling of 227996928 in words is "two hundred twenty-seven million, nine hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 5821 6528 9792 11642 13056 17463 19584 23284 34926 39168 46568 52389 69852 93136 98957 104778 139704 186272 197914 209556 279408 296871 372544 395828 419112 558816 593742 745088 791656 838224 890613 1117632 1187484 1490176 1583312 1676448 1781226 2235264 2374968 3166624 3352896 3562452 4470528 4749936 6333248 6705792 7124904 9499872 12666496 13411584 14249808 18999744 25332992 28499616 37999488 56999232 75998976 113998464 227996928