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232033000212 = 2232134324147843
BaseRepresentation
bin1101100000011000111…
…1101001101100010100
3211011220210000200212200
43120012033221230110
512300200422001322
6254332224244500
722522664650116
oct3300617515424
9734823020780
10232033000212
118a44a6413a2
1238b77470730
1318b5a944080
14b3325353b6
1560807cd8ac
hex36063e9b14

232033000212 has 144 divisors (see below), whose sum is σ = 649030269888. Its totient is φ = 69443619840.

The previous prime is 232033000207. The next prime is 232033000273. The reversal of 232033000212 is 212000330232.

It is a happy number.

232033000212 is a `hidden beast` number, since 2 + 320 + 330 + 0 + 0 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4825963 + ... + 4873805.

It is an arithmetic number, because the mean of its divisors is an integer number (4507154652).

Almost surely, 2232033000212 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 232033000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324515134944).

232033000212 is an abundant number, since it is smaller than the sum of its proper divisors (416997269676).

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

232033000212 is a wasteful number, since it uses less digits than its factorization.

232033000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48150 (or 48145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232033000212 its reverse (212000330232), we get a palindrome (444033330444).

The spelling of 232033000212 in words is "two hundred thirty-two billion, thirty-three million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 241 258 387 468 482 516 559 723 774 964 1118 1446 1548 1677 2169 2236 2892 3133 3354 4338 5031 6266 6708 8676 9399 10062 10363 12532 18798 20124 20726 28197 31089 37596 41452 47843 56394 62178 93267 95686 112788 124356 134719 143529 186534 191372 269438 287058 373068 404157 430587 538876 574116 621959 808314 861174 1212471 1243918 1616628 1722348 1865877 2057249 2424942 2487836 3731754 4114498 4849884 5597631 6171747 7463508 8228996 11195262 11530163 12343494 18515241 22390524 23060326 24686988 26744237 34590489 37030482 46120652 53488474 69180978 74060964 80232711 103771467 106976948 138361956 149892119 160465422 207542934 240698133 299784238 320930844 415085868 449676357 481396266 495797009 599568476 899352714 962792532 991594018 1349029071 1487391027 1798705428 1983188036 2698058142 2974782054 4462173081 5396116284 5949564108 6445361117 8924346162 12890722234 17848692324 19336083351 25781444468 38672166702 58008250053 77344333404 116016500106 232033000212