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10323212224 = 261324123279
BaseRepresentation
bin10011001110100111…
…11011011111000000
3222122102221111221111
421213103323133000
5132120220242344
64424210133104
7513550566433
oct114723733700
928572844844
1010323212224
114418203156
122001281194
13c86954800
146dd05981a
15406454834
hex2674fb7c0

10323212224 has 84 divisors (see below), whose sum is σ = 22724120160. Its totient is φ = 4648151040.

The previous prime is 10323212219. The next prime is 10323212279. The reversal of 10323212224 is 42221232301.

It is a junction number, because it is equal to n+sod(n) for n = 10323212195 and 10323212204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431817 + ... + 455095.

It is an arithmetic number, because the mean of its divisors is an integer number (270525240).

Almost surely, 210323212224 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 10323212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362060080).

10323212224 is an abundant number, since it is smaller than the sum of its proper divisors (12400907936).

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

10323212224 is a wasteful number, since it uses less digits than its factorization.

10323212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23358 (or 23335 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10323212224 its reverse (42221232301), we get a palindrome (52544444525).

The spelling of 10323212224 in words is "ten billion, three hundred twenty-three million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 169 208 328 338 416 533 656 676 832 1066 1312 1352 2132 2624 2704 4264 5408 6929 8528 10816 13858 17056 23279 27716 34112 46558 55432 93116 110864 186232 221728 302627 372464 443456 605254 744928 954439 1210508 1489856 1908878 2421016 3817756 3934151 4842032 7635512 7868302 9684064 12407707 15271024 15736604 19368128 24815414 30542048 31473208 49630828 61084096 62946416 99261656 125892832 161300191 198523312 251785664 322600382 397046624 645200764 794093248 1290401528 2580803056 5161606112 10323212224