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13794228 = 22327194367
BaseRepresentation
bin110100100111…
…101110110100
3221221211010100
4310213232310
512012403403
61211354100
7225151260
oct64475664
927854110
1013794228
117871898
124752930
132b1c886
141b910a0
1513272a3
hexd27bb4

13794228 has 144 divisors (see below), whose sum is σ = 43563520. Its totient is φ = 3592512.

The previous prime is 13794197. The next prime is 13794233. The reversal of 13794228 is 82249731.

It is a super-2 number, since 2×137942282 = 380561452231968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13794192 and 13794201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205851 + ... + 205917.

Almost surely, 213794228 is an apocalyptic number.

13794228 is a gapful number since it is divisible by the number (18) 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 13794228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781760).

13794228 is an abundant number, since it is smaller than the sum of its proper divisors (29769292).

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

13794228 is a wasteful number, since it uses less digits than its factorization.

13794228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13794228 is about 3714.0581578645. The cubic root of 13794228 is about 239.8275845001.

The spelling of 13794228 in words is "thirteen million, seven hundred ninety-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 43 57 63 67 76 84 86 114 126 129 133 134 171 172 201 228 252 258 266 268 301 342 387 399 402 469 516 532 602 603 684 774 798 804 817 903 938 1197 1204 1206 1273 1407 1548 1596 1634 1806 1876 2394 2412 2451 2546 2709 2814 2881 3268 3612 3819 4221 4788 4902 5092 5418 5628 5719 5762 7353 7638 8442 8643 8911 9804 10836 11438 11457 11524 14706 15276 16884 17157 17286 17822 20167 22876 22914 25929 26733 29412 34314 34572 35644 40334 45828 51471 51858 53466 54739 60501 68628 80199 80668 102942 103716 106932 109478 121002 160398 164217 181503 205884 218956 242004 320796 328434 363006 383173 492651 656868 726012 766346 985302 1149519 1532692 1970604 2299038 3448557 4598076 6897114 13794228