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201689700 = 223521771557
BaseRepresentation
bin11000000010110…
…00101001100100
3112001111220020220
430001120221210
5403113032300
632002524340
74666222422
oct1401305144
9461456226
10201689700
11a3937503
12576666b0
1332a29424
141cb02112
1512a8eda0
hexc058a64

201689700 has 144 divisors (see below), whose sum is σ = 627709824. Its totient is φ = 49817600.

The previous prime is 201689699. The next prime is 201689743. The reversal of 201689700 is 7986102.

201689700 is digitally balanced in base 3, 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 47 ways as a sum of consecutive naturals, for example, 361822 + ... + 362378.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2201689700 is an apocalyptic number.

201689700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201689700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313854912).

201689700 is an abundant number, since it is smaller than the sum of its proper divisors (426020124).

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

201689700 is a wasteful number, since it uses less digits than its factorization.

201689700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 201689700 is about 14201.7498921788. The cubic root of 201689700 is about 586.4458355900.

The spelling of 201689700 in words is "two hundred one million, six hundred eighty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 71 75 85 100 102 142 150 170 204 213 255 284 300 340 355 425 426 510 557 710 850 852 1020 1065 1114 1207 1275 1420 1671 1700 1775 2130 2228 2414 2550 2785 3342 3550 3621 4260 4828 5100 5325 5570 6035 6684 7100 7242 8355 9469 10650 11140 12070 13925 14484 16710 18105 18938 21300 24140 27850 28407 30175 33420 36210 37876 39547 41775 47345 55700 56814 60350 72420 79094 83550 90525 94690 113628 118641 120700 142035 158188 167100 181050 189380 197735 236725 237282 284070 362100 395470 473450 474564 568140 593205 672299 710175 790940 946900 988675 1186410 1344598 1420350 1977350 2016897 2372820 2689196 2840700 2966025 3361495 3954700 4033794 5932050 6722990 8067588 10084485 11864100 13445980 16807475 20168970 33614950 40337940 50422425 67229900 100844850 201689700