Search a number
-
+
10224343024 = 247458319919
BaseRepresentation
bin10011000010110101…
…10001011111110000
3222101112220102220021
421201122301133300
5131414412434044
64410315053224
7511240324150
oct114132613760
928345812807
1010224343024
114377414275
121b94141214
13c6c31891c
146cdc80760
153ec924e84
hex2616b17f0

10224343024 has 40 divisors (see below), whose sum is σ = 22645693440. Its totient is φ = 4380685248.

The previous prime is 10224343007. The next prime is 10224343039. The reversal of 10224343024 is 42034342201.

It is a happy number.

10224343024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10224343024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503337 + ... + 523255.

It is an arithmetic number, because the mean of its divisors is an integer number (566142336).

Almost surely, 210224343024 is an apocalyptic number.

10224343024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10224343024 is an abundant number, since it is smaller than the sum of its proper divisors (12421350416).

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

10224343024 is a wasteful number, since it uses less digits than its factorization.

10224343024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24517 (or 24511 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10224343024 its reverse (42034342201), we get a palindrome (52258685225).

The spelling of 10224343024 in words is "ten billion, two hundred twenty-four million, three hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 4583 9166 18332 19919 32081 36664 39838 64162 73328 79676 128324 139433 159352 256648 278866 318704 513296 557732 1115464 2230928 91288777 182577554 365155108 639021439 730310216 1278042878 1460620432 2556085756 5112171512 10224343024