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200163132 = 223213835153
BaseRepresentation
bin10111110111000…
…11111100111100
3111221122100012100
423323203330330
5402220210012
631510105100
74650233661
oct1373437474
9457570170
10200163132
11a2a94584
125704b190
1332613630
141c825a68
151288c8dc
hexbee3f3c

200163132 has 72 divisors (see below), whose sum is σ = 551560464. Its totient is φ = 60834816.

The previous prime is 200163127. The next prime is 200163137. The reversal of 200163132 is 231361002.

200163132 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 631 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (200163127) and next prime (200163137).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200163137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36268 + ... + 41420.

It is an arithmetic number, because the mean of its divisors is an integer number (7660562).

Almost surely, 2200163132 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 200163132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275780232).

200163132 is an abundant number, since it is smaller than the sum of its proper divisors (351397332).

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

200163132 is a wasteful number, since it uses less digits than its factorization.

200163132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 200163132 is about 14147.9020352842. The cubic root of 200163132 is about 584.9625047193.

The spelling of 200163132 in words is "two hundred million, one hundred sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2988 3237 4316 5153 6474 9711 10306 12948 15459 19422 20612 30918 38844 46377 61836 66989 92754 133978 185508 200967 267956 401934 427699 602901 803868 855398 1205802 1283097 1710796 2411604 2566194 3849291 5132388 5560087 7698582 11120174 15397164 16680261 22240348 33360522 50040783 66721044 100081566 200163132