Search a number
-
+
223100001 = 351098423
BaseRepresentation
bin11010100110000…
…11110001100001
3120112210122200000
431103003301201
5424103200001
634045450213
75346214215
oct1523036141
9515718600
10223100001
11104a30373
1262870969
13372b4747
14218b6945
15148bda86
hexd4c3c61

223100001 has 24 divisors (see below), whose sum is σ = 337296960. Its totient is φ = 147351312.

The previous prime is 223099999. The next prime is 223100021. The reversal of 223100001 is 100001322.

It is a happy number.

It is not a de Polignac number, because 223100001 - 21 = 223099999 is a prime.

It is a super-3 number, since 3×2231000013 (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 (9).

It is not an unprimeable number, because it can be changed into a prime (223100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22276 + ... + 30698.

It is an arithmetic number, because the mean of its divisors is an integer number (14054040).

Almost surely, 2223100001 is an apocalyptic number.

It is an amenable number.

223100001 is a deficient number, since it is larger than the sum of its proper divisors (114196959).

223100001 is an equidigital number, since it uses as much as digits as its factorization.

223100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 223100001 is about 14936.5324289140. The cubic root of 223100001 is about 606.5033314596.

Adding to 223100001 its reverse (100001322), we get a palindrome (323101323).

The spelling of 223100001 in words is "two hundred twenty-three million, one hundred thousand, one".

Divisors: 1 3 9 27 81 109 243 327 981 2943 8423 8829 25269 26487 75807 227421 682263 918107 2046789 2754321 8262963 24788889 74366667 223100001