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200171088 = 2434131092
BaseRepresentation
bin10111110111001…
…01111001010000
3111221122202010000
423323211321100
5402220433323
631510210000
74650266115
oct1373457120
9457582100
10200171088
11a2a9a557
1257053900
1332617140
141c82890c
151288ee43
hexbee5e50

200171088 has 150 divisors (see below), whose sum is σ = 629695374. Its totient is φ = 61026048.

The previous prime is 200171071. The next prime is 200171113. The reversal of 200171088 is 880171002.

200171088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 30338064 + 169833024 = 5508^2 + 13032^2 .

It is a super-2 number, since 2×2001710882 = 80136928942207488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1836378 + ... + 1836486.

Almost surely, 2200171088 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 200171088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314847687).

200171088 is an abundant number, since it is smaller than the sum of its proper divisors (429524286).

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

200171088 is a wasteful number, since it uses less digits than its factorization.

200171088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 200171088 is about 14148.1832049207. The cubic root of 200171088 is about 584.9702548979.

The spelling of 200171088 in words is "two hundred million, one hundred seventy-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 109 117 144 156 162 208 216 218 234 312 324 327 351 432 436 468 624 648 654 702 872 936 981 1053 1296 1308 1404 1417 1744 1872 1962 2106 2616 2808 2834 2943 3924 4212 4251 5232 5616 5668 5886 7848 8424 8502 8829 11336 11772 11881 12753 15696 16848 17004 17658 22672 23544 23762 25506 34008 35316 35643 38259 47088 47524 51012 68016 70632 71286 76518 95048 102024 106929 114777 141264 142572 153036 154453 190096 204048 213858 229554 285144 306072 308906 320787 427716 459108 463359 570288 612144 617812 641574 855432 918216 926718 962361 1235624 1283148 1390077 1710864 1836432 1853436 1924722 2471248 2566296 2780154 3706872 3849444 4170231 5132592 5560308 7413744 7698888 8340462 11120616 12510693 15397776 16680924 22241232 25021386 33361848 50042772 66723696 100085544 200171088