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136208226 = 237111959263
BaseRepresentation
bin10000001111001…
…01111101100010
3100111022002120010
420013211331202
5234332130401
621303225350
73242515350
oct1007457542
9314262503
10136208226
116a982290
1239748256
13222b04ab
14141387d0
15be57ed6
hex81e5f62

136208226 has 128 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 32823360.

The previous prime is 136208221. The next prime is 136208239. The reversal of 136208226 is 622802631.

136208226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 136208193 and 136208202.

It is not an unprimeable number, because it can be changed into a prime (136208221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517771 + ... + 518033.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2136208226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136208226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

136208226 is an abundant number, since it is smaller than the sum of its proper divisors (228745374).

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

136208226 is a wasteful number, since it uses less digits than its factorization.

136208226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 136208226 is about 11670.8279911924. The cubic root of 136208226 is about 514.5186390450.

The spelling of 136208226 in words is "one hundred thirty-six million, two hundred eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 59 66 77 114 118 133 154 177 209 231 263 266 354 399 413 418 462 526 627 649 789 798 826 1121 1239 1254 1298 1463 1578 1841 1947 2242 2478 2893 2926 3363 3682 3894 4389 4543 4997 5523 5786 6726 7847 8679 8778 9086 9994 11046 12331 13629 14991 15517 15694 17358 20251 23541 24662 27258 29982 31034 34979 36993 40502 46551 47082 54967 60753 69958 73986 86317 93102 104937 108619 109934 121506 164901 170687 172634 209874 217238 258951 294823 325857 329802 341374 384769 512061 517902 589646 651714 769538 884469 1024122 1154307 1194809 1768938 2063761 2308614 2389618 3243053 3584427 4127522 6191283 6486106 7168854 9729159 12382566 19458318 22701371 45402742 68104113 136208226