Search a number
-
+
10236224 = 26414783
BaseRepresentation
bin100111000011…
…000101000000
3201021001110102
4213003011000
510110024344
61003221532
7153002135
oct47030500
921231412
1010236224
115861699
1235178a8
13217524b
14150658c
15d72e4e
hex9c3140

10236224 has 56 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 4828160.

The previous prime is 10236221. The next prime is 10236251. The reversal of 10236224 is 42263201.

It is a junction number, because it is equal to n+sod(n) for n = 10236196 and 10236205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10236221) 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, 123287 + ... + 123369.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 210236224 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 10236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

10236224 is an abundant number, since it is smaller than the sum of its proper divisors (11270464).

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

10236224 is an equidigital number, since it uses as much as digits as its factorization.

10236224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10236224 is about 3199.4099455993. The cubic root of 10236224 is about 217.1267142728.

Adding to 10236224 its reverse (42263201), we get a palindrome (52499425).

The spelling of 10236224 in words is "ten million, two hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 47 64 82 83 94 164 166 188 328 332 376 656 664 752 1312 1328 1504 1927 2624 2656 3008 3403 3854 3901 5312 6806 7708 7802 13612 15416 15604 27224 30832 31208 54448 61664 62416 108896 123328 124832 159941 217792 249664 319882 639764 1279528 2559056 5118112 10236224