Search a number
-
+
23226816 = 263196367
BaseRepresentation
bin101100010011…
…0100111000000
31121201001012110
41120212213000
521421224231
62145455320
7401265444
oct130464700
947631173
1023226816
1112124718
127941540
134a730a2
143128824
15208c046
hex16269c0

23226816 has 56 divisors (see below), whose sum is σ = 64698880. Its totient is φ = 7333632.

The previous prime is 23226799. The next prime is 23226817. The reversal of 23226816 is 61862232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23226817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465 + ... + 6831.

Almost surely, 223226816 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 23226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32349440).

23226816 is an abundant number, since it is smaller than the sum of its proper divisors (41472064).

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

23226816 is a wasteful number, since it uses less digits than its factorization.

23226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6391 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 23226816 is about 4819.4207120773. The cubic root of 23226816 is about 285.3184743963.

It can be divided in two parts, 23226 and 816, that added together give a palindrome (24042).

The spelling of 23226816 in words is "twenty-three million, two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 6367 12734 19101 25468 38202 50936 76404 101872 120973 152808 203744 241946 305616 362919 407488 483892 611232 725838 967784 1222464 1451676 1935568 2903352 3871136 5806704 7742272 11613408 23226816