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538216200 = 2332521032903
BaseRepresentation
bin100000000101001…
…000011100001000
31101111202012211100
4200011020130020
52100240404300
6125223501400
716223522304
oct4005103410
91344665740
10538216200
11256899885
121302b7860
1387675a32
14516a2d04
15323b6700
hex20148708

538216200 has 144 divisors (see below), whose sum is σ = 1825686720. Its totient is φ = 142081920.

The previous prime is 538216199. The next prime is 538216207. The reversal of 538216200 is 2612835.

538216200 is a `hidden beast` number, since 5 + 38 + 2 + 1 + 620 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (538216207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183949 + ... + 186851.

It is an arithmetic number, because the mean of its divisors is an integer number (12678380).

Almost surely, 2538216200 is an apocalyptic number.

538216200 is a gapful number since it is divisible by the number (50) 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 538216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912843360).

538216200 is an abundant number, since it is smaller than the sum of its proper divisors (1287470520).

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

538216200 is a wasteful number, since it uses less digits than its factorization.

538216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 538216200 is about 23199.4870632952. The cubic root of 538216200 is about 813.4276332180.

The spelling of 538216200 in words is "five hundred thirty-eight million, two hundred sixteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 103 120 150 180 200 206 225 300 309 360 412 450 515 600 618 824 900 927 1030 1236 1545 1800 1854 2060 2472 2575 2903 3090 3708 4120 4635 5150 5806 6180 7416 7725 8709 9270 10300 11612 12360 14515 15450 17418 18540 20600 23175 23224 26127 29030 30900 34836 37080 43545 46350 52254 58060 61800 69672 72575 87090 92700 104508 116120 130635 145150 174180 185400 209016 217725 261270 290300 299009 348360 435450 522540 580600 598018 653175 870900 897027 1045080 1196036 1306350 1495045 1741800 1794054 2392072 2612700 2691081 2990090 3588108 4485135 5225400 5382162 5980180 7176216 7475225 8970270 10764324 11960360 13455405 14950450 17940540 21528648 22425675 26910810 29900900 35881080 44851350 53821620 59801800 67277025 89702700 107643240 134554050 179405400 269108100 538216200