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133494228 = 22327319569
BaseRepresentation
bin1111111010011…
…11010111010100
3100022012012122200
413331033113110
5233133303403
621125124500
73210453000
oct775172724
9308165580
10133494228
116939920a
1238859730
132187008a
1413a2d700
15babdca3
hex7f4f5d4

133494228 has 144 divisors (see below), whose sum is σ = 414960000. Its totient is φ = 36070272.

The previous prime is 133494223. The next prime is 133494233. The reversal of 133494228 is 822494331.

It is an interprime number because it is at equal distance from previous prime (133494223) and next prime (133494233).

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 = 133494192 and 133494201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133494223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234328 + ... + 234896.

Almost surely, 2133494228 is an apocalyptic number.

133494228 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 133494228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207480000).

133494228 is an abundant number, since it is smaller than the sum of its proper divisors (281465772).

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

133494228 is a wasteful number, since it uses less digits than its factorization.

133494228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 133494228 is about 11553.9702267229. The cubic root of 133494228 is about 511.0783641625.

The spelling of 133494228 in words is "one hundred thirty-three million, four 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 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 343 399 441 532 569 588 684 686 798 882 931 1029 1138 1197 1372 1596 1707 1764 1862 2058 2276 2394 2793 3087 3414 3724 3983 4116 4788 5121 5586 6174 6517 6828 7966 8379 10242 10811 11172 11949 12348 13034 15932 16758 19551 20484 21622 23898 26068 27881 32433 33516 35847 39102 43244 47796 55762 58653 64866 71694 75677 78204 83643 97299 111524 117306 129732 143388 151354 167286 194598 195167 227031 234612 250929 302708 334572 389196 390334 454062 501858 529739 585501 681093 780668 908124 1003716 1059478 1171002 1362186 1589217 1756503 2118956 2342004 2724372 3178434 3513006 3708173 4767651 6356868 7026012 7416346 9535302 11124519 14832692 19070604 22249038 33373557 44498076 66747114 133494228