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682202268 = 2232118831951
BaseRepresentation
bin101000101010011…
…001010010011100
31202112200110120200
4220222121102130
52344120433033
6151405543500
722622423616
oct5052312234
91675613520
10682202268
113200a3730
12170574b90
13ab44a4a7
1466863db6
153ed59013
hex28a9949c

682202268 has 72 divisors (see below), whose sum is σ = 1884320256. Its totient is φ = 206388000.

The previous prime is 682202251. The next prime is 682202291. The reversal of 682202268 is 862202286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 348693 + ... + 350643.

Almost surely, 2682202268 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 682202268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942160128).

682202268 is an abundant number, since it is smaller than the sum of its proper divisors (1202117988).

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

682202268 is a wasteful number, since it uses less digits than its factorization.

682202268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 682202268 is about 26119.0020483172. The cubic root of 682202268 is about 880.3142249064.

The spelling of 682202268 in words is "six hundred eighty-two million, two hundred two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 883 1766 1951 2649 3532 3902 5298 5853 7804 7947 9713 10596 11706 15894 17559 19426 21461 23412 29139 31788 35118 38852 42922 58278 64383 70236 85844 87417 116556 128766 174834 193149 257532 349668 386298 772596 1722733 3445466 5168199 6890932 10336398 15504597 18950063 20672796 31009194 37900126 56850189 62018388 75800252 113700378 170550567 227400756 341101134 682202268