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133238196 = 22347134519
BaseRepresentation
bin1111111000100…
…00110110110100
3100021201012110000
413330100312310
5233102110241
621115431300
73205335360
oct774206664
9307635400
10133238196
1169233913
1238755530
13217b0690
14139a42a0
15ba6ceb6
hex7f10db4

133238196 has 120 divisors (see below), whose sum is σ = 428785280. Its totient is φ = 35131968.

The previous prime is 133238179. The next prime is 133238201. The reversal of 133238196 is 691832331.

It is a super-4 number, since 4×1332381964 (a number of 34 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133238196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27225 + ... + 31743.

Almost surely, 2133238196 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 133238196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214392640).

133238196 is an abundant number, since it is smaller than the sum of its proper divisors (295547084).

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

133238196 is a wasteful number, since it uses less digits than its factorization.

133238196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4544 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133238196 is about 11542.8850812958. The cubic root of 133238196 is about 510.7514182913.

The spelling of 133238196 in words is "one hundred thirty-three million, two hundred thirty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4519 4914 7371 9038 9828 13557 14742 18076 27114 29484 31633 40671 54228 58747 63266 81342 94899 117494 122013 126532 162684 176241 189798 234988 244026 284697 352482 366039 379596 411229 488052 528723 569394 704964 732078 822458 854091 1057446 1138788 1233687 1464156 1586169 1644916 1708182 2114892 2467374 2562273 3172338 3416364 3701061 4758507 4934748 5124546 6344676 7402122 9517014 10249092 11103183 14804244 19034028 22206366 33309549 44412732 66619098 133238196