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10224819396 = 22321144515801
BaseRepresentation
bin10011000010111001…
…00101110011000100
3222101120210122100200
421201130211303010
5131420023210041
64410333210500
7511244350041
oct114134456304
928346718320
1010224819396
11437770a170
121b94330a30
13c6c4546bc
146cdd661c8
153ec9bb1b6
hex261725cc4

10224819396 has 72 divisors (see below), whose sum is σ = 28206910368. Its totient is φ = 3097200000.

The previous prime is 10224819331. The next prime is 10224819419. The reversal of 10224819396 is 69391842201.

10224819396 is a `hidden beast` number, since 1 + 0 + 2 + 248 + 19 + 396 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1759696 + ... + 1765496.

It is an arithmetic number, because the mean of its divisors is an integer number (391762644).

Almost surely, 210224819396 is an apocalyptic number.

It is an amenable number.

10224819396 is an abundant number, since it is smaller than the sum of its proper divisors (17982090972).

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

10224819396 is a wasteful number, since it uses less digits than its factorization.

10224819396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10224819396 in words is "ten billion, two hundred twenty-four million, eight hundred nineteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 4451 5801 8902 11602 13353 17403 17804 23204 26706 34806 40059 48961 52209 53412 63811 69612 80118 97922 104418 127622 146883 160236 191433 195844 208836 255244 293766 382866 440649 574299 587532 765732 881298 1148598 1762596 2297196 25820251 51640502 77460753 103281004 154921506 232382259 284022761 309843012 464764518 568045522 852068283 929529036 1136091044 1704136566 2556204849 3408273132 5112409698 10224819396