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3022824825 = 345217277317
BaseRepresentation
bin1011010000101100…
…1010010101111001
321210122222102010000
42310023022111321
522142320343300
61215541343213
7134623405236
oct26413122571
97718872100
103022824825
111311340039
12704407b09
13392346657
1420966878d
1512a5a1c00
hexb42ca579

3022824825 has 120 divisors (see below), whose sum is σ = 5968861272. Its totient is φ = 1507092480.

The previous prime is 3022824811. The next prime is 3022824829. The reversal of 3022824825 is 5284282203.

3022824825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1672482816 + 1350342009 = 40896^2 + 36747^2 .

It is not a de Polignac number, because 3022824825 - 210 = 3022823801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3022824825.

It is not an unprimeable number, because it can be changed into a prime (3022824829) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9535567 + ... + 9535883.

Almost surely, 23022824825 is an apocalyptic number.

It is an amenable number.

3022824825 is a deficient number, since it is larger than the sum of its proper divisors (2946036447).

3022824825 is a wasteful number, since it uses less digits than its factorization.

3022824825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3022824825 is about 54980.2221257790. Note that the first 3 decimals coincide. The cubic root of 3022824825 is about 1445.8980102305.

The spelling of 3022824825 in words is "three billion, twenty-two million, eight hundred twenty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 277 317 405 425 459 675 765 831 951 1275 1377 1385 1585 2025 2295 2493 2853 3825 4155 4709 4755 5389 6885 6925 7479 7925 8559 11475 12465 14127 14265 16167 20775 22437 23545 23775 25677 26945 34425 37395 42381 42795 48501 62325 70635 71325 80835 87809 112185 117725 127143 128385 134725 145503 186975 211905 213975 242505 263427 353175 381429 404175 436509 439045 560925 635715 641925 727515 790281 1059525 1212525 1317135 1492753 1907145 2182545 2195225 2370843 3178575 3637575 3951405 4478259 6585675 7112529 7463765 9535725 10912725 11854215 13434777 19757025 22391295 35562645 37318825 40304331 59271075 67173885 111956475 120912993 177813225 201521655 335869425 604564965 1007608275 3022824825