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201058950 = 23521924779
BaseRepresentation
bin10111111101111…
…10101010000110
3112000022212000210
423332332222012
5402432341300
631541220250
74660654461
oct1376765206
9460285023
10201058950
11a3546624
1257401686
13328682c1
141c9ba2d8
15129b8050
hexbfbea86

201058950 has 144 divisors (see below), whose sum is σ = 544250880. Its totient is φ = 49083840.

The previous prime is 201058937. The next prime is 201058973. The reversal of 201058950 is 59850102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2545011 + ... + 2545089.

It is an arithmetic number, because the mean of its divisors is an integer number (3779520).

Almost surely, 2201058950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201058950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

201058950 is an abundant number, since it is smaller than the sum of its proper divisors (343191930).

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

201058950 is a wasteful number, since it uses less digits than its factorization.

201058950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 201058950 is about 14179.5257325483. The cubic root of 201058950 is about 585.8338608874.

The spelling of 201058950 in words is "two hundred one million, fifty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 47 50 57 75 79 94 95 114 141 150 158 190 235 237 282 285 361 395 470 474 475 570 705 722 790 893 950 1083 1175 1185 1410 1425 1501 1786 1805 1975 2166 2350 2370 2679 2850 3002 3525 3610 3713 3950 4465 4503 5358 5415 5925 7050 7426 7505 8930 9006 9025 10830 11139 11850 13395 15010 16967 18050 18565 22278 22325 22515 26790 27075 28519 33934 37130 37525 44650 45030 50901 54150 55695 57038 66975 70547 75050 84835 85557 92825 101802 111390 112575 133950 141094 142595 169670 171114 185650 211641 225150 254505 278475 285190 352735 423282 424175 427785 509010 556950 705470 712975 848350 855570 1058205 1272525 1340393 1425950 1763675 2116410 2138925 2545050 2680786 3527350 4021179 4277850 5291025 6701965 8042358 10582050 13403930 20105895 33509825 40211790 67019650 100529475 201058950