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268229412 = 2232112139443
BaseRepresentation
bin11111111110011…
…01101100100100
3200200201110120200
433333031230210
51022131320122
642341030500
76434624643
oct1777155444
9620643520
10268229412
11128454800
12759b5430
1343755c39
14278a335a
15188355ac
hexffcdb24

268229412 has 108 divisors (see below), whose sum is σ = 752322480. Its totient is φ = 80514720.

The previous prime is 268229371. The next prime is 268229447. The reversal of 268229412 is 214922862.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 605263 + ... + 605705.

Almost surely, 2268229412 is an apocalyptic number.

268229412 is a gapful number since it is divisible by the number (22) 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 268229412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376161240).

268229412 is an abundant number, since it is smaller than the sum of its proper divisors (484093068).

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

268229412 is a wasteful number, since it uses less digits than its factorization.

268229412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 268229412 is about 16377.7108290506. The cubic root of 268229412 is about 644.9144865900.

The spelling of 268229412 in words is "two hundred sixty-eight million, two hundred twenty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 139 198 242 278 363 396 417 443 484 556 726 834 886 1089 1251 1329 1452 1529 1668 1772 2178 2502 2658 3058 3987 4356 4587 4873 5004 5316 6116 7974 9174 9746 13761 14619 15948 16819 18348 19492 27522 29238 33638 43857 50457 53603 55044 58476 61577 67276 87714 100914 107206 123154 151371 160809 175428 184731 201828 214412 246308 302742 321618 369462 482427 554193 605484 643236 677347 738924 964854 1108386 1354694 1929708 2032041 2216772 2709388 4064082 6096123 7450817 8128164 12192246 14901634 22352451 24384492 29803268 44704902 67057353 89409804 134114706 268229412