Search a number
-
+
227623116 = 2237191271123
BaseRepresentation
bin11011001000101…
…00000011001100
3120212022110012210
431210110003030
5431232414431
634330430420
75432523150
oct1544240314
9525273183
10227623116
1110753a686
1264292410
1338209446
1422333060
1514eb3d46
hexd9140cc

227623116 has 96 divisors (see below), whose sum is σ = 644546560. Its totient is φ = 61072704.

The previous prime is 227623091. The next prime is 227623127. The reversal of 227623116 is 611326722.

227623116 is a nontrivial binomial coefficient, being equal to C(21337, 2).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202131 + ... + 203253.

Almost surely, 2227623116 is an apocalyptic number.

227623116 is the 21336-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227623116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322273280).

227623116 is an abundant number, since it is smaller than the sum of its proper divisors (416923444).

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

227623116 is a wasteful number, since it uses less digits than its factorization.

227623116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 227623116 is about 15087.1838326442. The cubic root of 227623116 is about 610.5746765627.

Adding to 227623116 its reverse (611326722), we get a palindrome (838949838).

It can be divided in two parts, 22762 and 3116, that added together give a triangular number (25878 = T227).

The spelling of 227623116 in words is "two hundred twenty-seven million, six hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 127 133 228 254 266 381 399 508 532 762 798 889 1123 1524 1596 1778 2246 2413 2667 3369 3556 4492 4826 5334 6738 7239 7861 9652 10668 13476 14478 15722 16891 21337 23583 28956 31444 33782 42674 47166 50673 64011 67564 85348 94332 101346 128022 142621 149359 202692 256044 285242 298718 427863 448077 570484 597436 855726 896154 998347 1711452 1792308 1996694 2709799 2995041 3993388 5419598 5990082 8129397 10839196 11980164 16258794 18968593 32517588 37937186 56905779 75874372 113811558 227623116