Search a number
-
+
460223043048 = 233219133465899
BaseRepresentation
bin1101011001001110110…
…11100101010111101000
31121222220201211221021200
412230213123211113220
530020014044334143
6551231253004200
745151520214666
oct6544733452750
91558821757250
10460223043048
111681a7a00a5a
127523b923660
1334525360062
14183bc515c36
15be88a081d3
hex6b276e55e8

460223043048 has 48 divisors (see below), whose sum is σ = 1252963296000. Its totient is φ = 152604494880.

The previous prime is 460223043017. The next prime is 460223043073. The reversal of 460223043048 is 840340322064.

460223043048 is a `hidden beast` number, since 4 + 602 + 2 + 3 + 0 + 4 + 3 + 0 + 48 = 666.

It is a super-2 number, since 2×4602230430482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16719198 + ... + 16746701.

It is an arithmetic number, because the mean of its divisors is an integer number (26103402000).

Almost surely, 2460223043048 is an apocalyptic number.

It is an amenable number.

460223043048 is an abundant number, since it is smaller than the sum of its proper divisors (792740252952).

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

460223043048 is a wasteful number, since it uses less digits than its factorization.

460223043048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33466102 (or 33466095 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 460223043048 in words is "four hundred sixty billion, two hundred twenty-three million, forty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 13752 33465899 66931798 100397697 133863596 200795394 267727192 301193091 401590788 602386182 803181576 1204772364 2409544728 6391986709 12783973418 19175960127 25567946836 38351920254 51135893672 57527880381 76703840508 115055760762 153407681016 230111521524 460223043048