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685228512 = 253232103131
BaseRepresentation
bin101000110101111…
…100000111100000
31202202101012210210
4220311330013200
52400404303022
6151554454120
722660226523
oct5065740740
91682335723
10685228512
11321880361
12171594340
13abc69a77
1467010bba
1540255a0c
hex28d7c1e0

685228512 has 144 divisors (see below), whose sum is σ = 1913079168. Its totient is φ = 214705920.

The previous prime is 685228507. The next prime is 685228517. The reversal of 685228512 is 215822586.

It is an interprime number because it is at equal distance from previous prime (685228507) and next prime (685228517).

It is a super-2 number, since 2×6852285122 = 939076227315468288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685228517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5230687 + ... + 5230817.

It is an arithmetic number, because the mean of its divisors is an integer number (13285272).

Almost surely, 2685228512 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 685228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956539584).

685228512 is an abundant number, since it is smaller than the sum of its proper divisors (1227850656).

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

685228512 is a wasteful number, since it uses less digits than its factorization.

685228512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 685228512 is about 26176.8697899501. The cubic root of 685228512 is about 881.6139939127.

The spelling of 685228512 in words is "six hundred eighty-five million, two hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 131 138 184 206 262 276 309 368 393 412 524 529 552 618 736 786 824 1048 1058 1104 1236 1572 1587 1648 2096 2116 2208 2369 2472 3013 3144 3174 3296 4192 4232 4738 4944 6026 6288 6348 7107 8464 9039 9476 9888 12052 12576 12696 13493 14214 16928 18078 18952 24104 25392 26986 28428 36156 37904 40479 48208 50784 53972 54487 56856 69299 72312 75808 80958 96416 107944 108974 113712 138598 144624 161916 163461 207897 215888 217948 227424 277196 289248 310339 323832 326922 415794 431776 435896 554392 620678 647664 653844 831588 871792 931017 1108784 1241356 1295328 1307688 1663176 1743584 1862034 2217568 2482712 2615376 3326352 3724068 4965424 5230752 6652704 7137797 7448136 9930848 14275594 14896272 21413391 28551188 29792544 42826782 57102376 85653564 114204752 171307128 228409504 342614256 685228512