Search a number
-
+
23213112 = 23313471583
BaseRepresentation
bin101100010001…
…1010000111000
31121200100101220
41120203100320
521420304422
62145312040
7401210466
oct130432070
947610356
1023213112
111211539a
127935620
134a69a90
143123836
152087e5c
hex1623438

23213112 has 64 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 6986112.

The previous prime is 23213087. The next prime is 23213131. The reversal of 23213112 is 21131232.

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

It is a junction number, because it is equal to n+sod(n) for n = 23213091 and 23213100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13873 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 223213112 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 23213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

23213112 is an abundant number, since it is smaller than the sum of its proper divisors (40653768).

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

23213112 is a wasteful number, since it uses less digits than its factorization.

23213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 23213112 is about 4817.9987546698. The cubic root of 23213112 is about 285.2623499925.

Adding to 23213112 its reverse (21131232), we get a palindrome (44344344).

The spelling of 23213112 in words is "twenty-three million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1583 1833 2444 3166 3666 4749 4888 6332 7332 9498 12664 14664 18996 20579 37992 41158 61737 74401 82316 123474 148802 164632 223203 246948 297604 446406 493896 595208 892812 967213 1785624 1934426 2901639 3868852 5803278 7737704 11606556 23213112