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268322236 = 227213314379
BaseRepresentation
bin11111111111001…
…00010110111100
3200200220011220121
433333210112330
51022142302421
642343024324
76435462400
oct1777442674
9620804817
10268322236
11128508516
1275a3b0a4
1343789270
14278c9100
1518852d41
hexffe45bc

268322236 has 144 divisors (see below), whose sum is σ = 629207040. Its totient is φ = 99066240.

The previous prime is 268322233. The next prime is 268322269. The reversal of 268322236 is 632223862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268322233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3396445 + ... + 3396523.

Almost surely, 2268322236 is an apocalyptic number.

268322236 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268322236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314603520).

268322236 is an abundant number, since it is smaller than the sum of its proper divisors (360884804).

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

268322236 is a wasteful number, since it uses less digits than its factorization.

268322236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 268322236 is about 16380.5444353965. The cubic root of 268322236 is about 644.9888714704.

The spelling of 268322236 in words is "two hundred sixty-eight million, three hundred twenty-two thousand, two hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 31 43 49 52 62 79 86 91 98 124 158 172 182 196 217 301 316 364 403 434 553 559 602 637 806 868 1027 1106 1118 1204 1274 1333 1519 1612 2054 2107 2212 2236 2449 2548 2666 2821 3038 3397 3871 3913 4108 4214 4898 5332 5642 6076 6794 7189 7742 7826 8428 9331 9796 11284 13588 14378 15484 15652 17143 17329 18662 19747 23779 27391 28756 31837 34286 34658 37324 39494 44161 47558 50323 54782 63674 65317 68572 69316 78988 88322 95116 100646 105307 109564 120001 121303 127348 130634 166453 176644 201292 210614 222859 240002 242606 261268 309127 332906 421228 445718 480004 485212 618254 665812 737149 849121 891436 1236508 1368991 1474298 1560013 1698242 2163889 2737982 2948596 3120026 3396484 4327778 5160043 5475964 6240052 8655556 9582937 10320086 19165874 20640172 38331748 67080559 134161118 268322236