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460136226 = 2311103113599
BaseRepresentation
bin11011011011010…
…001111100100010
31012001211100020110
4123123101330202
51420243324401
6113354152150
714255044014
oct3333217442
91161740213
10460136226
1121680a180
1210a122656
1374438574
144517a1b4
152a5e19d6
hex1b6d1f22

460136226 has 64 divisors (see below), whose sum is σ = 1024358400. Its totient is φ = 136631040.

The previous prime is 460136213. The next prime is 460136233. The reversal of 460136226 is 622631064.

It is a junction number, because it is equal to n+sod(n) for n = 460136193 and 460136202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767875 + ... + 768473.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 2460136226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460136226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512179200).

460136226 is an abundant number, since it is smaller than the sum of its proper divisors (564222174).

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

460136226 is a wasteful number, since it uses less digits than its factorization.

460136226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 460136226 is about 21450.7861394402. The cubic root of 460136226 is about 772.0204575015.

The spelling of 460136226 in words is "four hundred sixty million, one hundred thirty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 103 113 206 226 309 339 599 618 678 1133 1198 1243 1797 2266 2486 3399 3594 3729 6589 6798 7458 11639 13178 19767 23278 34917 39534 61697 67687 69834 123394 128029 135374 185091 203061 256058 370182 384087 406122 678667 744557 768174 1357334 1489114 2036001 2233671 4072002 4467342 6971761 13943522 20915283 41830566 76689371 153378742 230068113 460136226