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233001132 = 223713239277
BaseRepresentation
bin11011110001101…
…01000010101100
3121020102200110120
431320311002230
5434122014012
635042004540
75526322410
oct1570650254
9536380416
10233001132
1110a583221
1266046750
13393702c0
1422d32d40
15156c758c
hexde350ac

233001132 has 96 divisors (see below), whose sum is σ = 698299392. Its totient is φ = 58772736.

The previous prime is 233001127. The next prime is 233001179. The reversal of 233001132 is 231100332.

233001132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20478 + ... + 29754.

It is an arithmetic number, because the mean of its divisors is an integer number (7273952).

Almost surely, 2233001132 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 233001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349149696).

233001132 is an abundant number, since it is smaller than the sum of its proper divisors (465298260).

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

233001132 is a wasteful number, since it uses less digits than its factorization.

233001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 233001132 is about 15264.3746023216. The cubic root of 233001132 is about 615.3459458891.

Adding to 233001132 its reverse (231100332), we get a palindrome (464101464).

The spelling of 233001132 in words is "two hundred thirty-three million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 6279 8372 9277 12558 18554 25116 27831 37108 55662 64939 111324 120601 129878 194817 213371 241202 259756 361803 389634 426742 482404 640113 723606 779268 844207 853484 1280226 1447212 1493597 1688414 2532621 2560452 2773823 2987194 3376828 4480791 5065242 5547646 5974388 8321469 8961582 10130484 11095292 16642938 17923164 19416761 33285876 38833522 58250283 77667044 116500566 233001132