Search a number
-
+
460226868 = 2232931371153
BaseRepresentation
bin11011011011101…
…000000100110100
31012001222221120120
4123123220010310
51420304224433
6113400131540
714255602203
oct3333500464
91161887516
10460226868
11216871292
1210a166bb0
137446a8ba
14451a123a
152a60d7b3
hex1b6e8134

460226868 has 96 divisors (see below), whose sum is σ = 1178741760. Its totient is φ = 139345920.

The previous prime is 460226863. The next prime is 460226917. The reversal of 460226868 is 868622064.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460226861) 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, 398580 + ... + 399732.

It is an arithmetic number, because the mean of its divisors is an integer number (12278560).

Almost surely, 2460226868 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 460226868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589370880).

460226868 is an abundant number, since it is smaller than the sum of its proper divisors (718514892).

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

460226868 is a wasteful number, since it uses less digits than its factorization.

460226868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 460226868 is about 21452.8988251005. The cubic root of 460226868 is about 772.0711474783.

The spelling of 460226868 in words is "four hundred sixty million, two hundred twenty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 31 37 58 62 74 87 93 111 116 124 148 174 186 222 348 372 444 899 1073 1147 1153 1798 2146 2294 2306 2697 3219 3441 3459 3596 4292 4588 4612 5394 6438 6882 6918 10788 12876 13764 13836 33263 33437 35743 42661 66526 66874 71486 85322 99789 100311 107229 127983 133052 133748 142972 170644 199578 200622 214458 255966 399156 401244 428916 511932 1036547 1237169 1322491 2073094 2474338 2644982 3109641 3711507 3967473 4146188 4948676 5289964 6219282 7423014 7934946 12438564 14846028 15869892 38352239 76704478 115056717 153408956 230113434 460226868