Search a number
-
+
108223024 = 24713239311
BaseRepresentation
bin1100111001101…
…01101000110000
321112122022002011
412130311220300
5210201114044
614423332304
72452611010
oct634655060
9245568064
10108223024
11560a8618
12302b1094
13195625c0
1410531c40
15977b134
hex6735a30

108223024 has 80 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 42497280.

The previous prime is 108223001. The next prime is 108223033. The reversal of 108223024 is 420322801.

It is a junction number, because it is equal to n+sod(n) for n = 108222986 and 108223004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347829 + ... + 348139.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2108223024 is an apocalyptic number.

108223024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

108223024 is an abundant number, since it is smaller than the sum of its proper divisors (151760336).

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

108223024 is a wasteful number, since it uses less digits than its factorization.

108223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 108223024 is about 10403.0295587391. The cubic root of 108223024 is about 476.5478944029.

Adding to 108223024 its reverse (420322801), we get a palindrome (528545825).

The spelling of 108223024 in words is "one hundred eight million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 239 311 364 478 622 728 956 1244 1456 1673 1912 2177 2488 3107 3346 3824 4043 4354 4976 6214 6692 8086 8708 12428 13384 16172 17416 21749 24856 26768 28301 32344 34832 43498 49712 56602 64688 74329 86996 113204 148658 173992 226408 297316 347984 452816 520303 594632 966277 1040606 1189264 1932554 2081212 3865108 4162424 6763939 7730216 8324848 13527878 15460432 27055756 54111512 108223024