Search a number
-
+
23211162 = 23213281353
BaseRepresentation
bin101100010001…
…0110010011010
31121200020201200
41120202302122
521420224122
62145255030
7401202012
oct130426232
947606650
1023211162
1112113987
127934476
134a68c20
143122c42
1520875ac
hex1622c9a

23211162 has 48 divisors (see below), whose sum is σ = 54506088. Its totient is φ = 7096320.

The previous prime is 23211151. The next prime is 23211169. The reversal of 23211162 is 26111232.

It can be written as a sum of positive squares in 4 ways, for example, as 16966161 + 6245001 = 4119^2 + 2499^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23211169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65578 + ... + 65930.

Almost surely, 223211162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23211162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27253044).

23211162 is an abundant number, since it is smaller than the sum of its proper divisors (31294926).

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

23211162 is a wasteful number, since it uses less digits than its factorization.

23211162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 23211162 is about 4817.7963842404. The cubic root of 23211162 is about 285.2543620191.

Adding to 23211162 its reverse (26111232), we get a palindrome (49322394).

The spelling of 23211162 in words is "twenty-three million, two hundred eleven thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 281 353 562 706 843 1059 1686 2118 2529 3177 3653 4589 5058 6354 7306 9178 10959 13767 21918 27534 32877 41301 65754 82602 99193 198386 297579 595158 892737 1289509 1785474 2579018 3868527 7737054 11605581 23211162