Search a number
-
+
225837263916 = 223311683278329
BaseRepresentation
bin1101001001010011110…
…0110010110000101100
3210120220222122200111000
43102110330302300230
512200003314421131
6251425340200300
722213313033025
oct3222474626054
9716828580430
10225837263916
118786027aa80
1237928539090
13183b1154914
14ad05733c4c
155d1b8cece6
hex3494f32c2c

225837263916 has 96 divisors (see below), whose sum is σ = 639669139200. Its totient is φ = 68335090560.

The previous prime is 225837263893. The next prime is 225837263917. The reversal of 225837263916 is 619362738522.

225837263916 is a `hidden beast` number, since 2 + 2 + 583 + 7 + 26 + 39 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225837263917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672240 + ... + 950568.

It is an arithmetic number, because the mean of its divisors is an integer number (6663220200).

Almost surely, 2225837263916 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 225837263916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319834569600).

225837263916 is an abundant number, since it is smaller than the sum of its proper divisors (413831875284).

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

225837263916 is a wasteful number, since it uses less digits than its factorization.

225837263916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279036 (or 279028 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 225837263916 in words is "two hundred twenty-five billion, eight hundred thirty-seven million, two hundred sixty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 683 1188 1366 2049 2732 4098 6147 7513 8196 12294 15026 18441 22539 24588 30052 36882 45078 67617 73764 90156 135234 202851 270468 278329 405702 556658 811404 834987 1113316 1669974 2504961 3061619 3339948 5009922 6123238 7514883 9184857 10019844 12246476 15029766 18369714 27554571 30059532 36739428 55109142 82663713 110218284 165327426 190098707 330654852 380197414 570296121 760394828 1140592242 1710888363 2091085777 2281184484 3421776726 4182171554 5132665089 6273257331 6843553452 8364343108 10265330178 12546514662 18819771993 20530660356 25093029324 37639543986 56459315979 75279087972 112918631958 225837263916