Base | Representation |
---|---|
bin | 11010100111010… |
… | …11011011111100 |
3 | 120120002220112000 |
4 | 31103223123330 |
5 | 424123344320 |
6 | 34053142300 |
7 | 5350461651 |
oct | 1523533374 |
9 | 516086460 |
10 | 223262460 |
11 | 105031433 |
12 | 6292a990 |
13 | 37340685 |
14 | 21919c28 |
15 | 14901c90 |
hex | d4eb6fc |
223262460 has 72 divisors (see below), whose sum is σ = 695676240. Its totient is φ = 59444064.
The previous prime is 223262443. The next prime is 223262509. The reversal of 223262460 is 64262322.
223262460 is a `hidden beast` number, since 2 + 2 + 32 + 624 + 6 + 0 = 666.
It is a super-3 number, since 3×2232624603 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346899 + ... + 347541.
It is an arithmetic number, because the mean of its divisors is an integer number (9662170).
Almost surely, 2223262460 is an apocalyptic number.
223262460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223262460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347838120).
223262460 is an abundant number, since it is smaller than the sum of its proper divisors (472413780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223262460 is an equidigital number, since it uses as much as digits as its factorization.
223262460 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1304 (or 653 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 223262460 is about 14941.9697496682. The cubic root of 223262460 is about 606.6505121220.
The spelling of 223262460 in words is "two hundred twenty-three million, two hundred sixty-two thousand, four hundred sixty".
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