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206545152 = 28311231063
BaseRepresentation
bin11000100111110…
…10000100000000
3112101122120200110
430103322010000
5410333421102
632254551320
75055414312
oct1423720400
9471576613
10206545152
11a6653480
1259208540
1333a39488
141d6077b2
15131ed86c
hexc4fa100

206545152 has 144 divisors (see below), whose sum is σ = 626347008. Its totient is φ = 59811840.

The previous prime is 206545151. The next prime is 206545159. The reversal of 206545152 is 251545602.

It is not an unprimeable number, because it can be changed into a prime (206545151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193773 + ... + 194835.

It is an arithmetic number, because the mean of its divisors is an integer number (4349632).

Almost surely, 2206545152 is an apocalyptic number.

206545152 is a gapful number since it is divisible by the number (22) 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 206545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313173504).

206545152 is an abundant number, since it is smaller than the sum of its proper divisors (419801856).

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

206545152 is a wasteful number, since it uses less digits than its factorization.

206545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 206545152 is about 14371.6788163388. The cubic root of 206545152 is about 591.1145760607.

The spelling of 206545152 in words is "two hundred six million, five hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 704 736 759 768 1012 1056 1063 1104 1408 1472 1518 2024 2112 2126 2208 2816 2944 3036 3189 4048 4224 4252 4416 5888 6072 6378 8096 8448 8504 8832 11693 12144 12756 16192 17008 17664 23386 24288 24449 25512 32384 34016 35079 46772 48576 48898 51024 64768 68032 70158 73347 93544 97152 97796 102048 136064 140316 146694 187088 194304 195592 204096 268939 272128 280632 293388 374176 391184 408192 537878 561264 586776 748352 782368 806817 816384 1075756 1122528 1173552 1496704 1564736 1613634 2151512 2245056 2347104 2993408 3129472 3227268 4303024 4490112 4694208 6258944 6454536 8606048 8980224 9388416 12909072 17212096 18776832 25818144 34424192 51636288 68848384 103272576 206545152