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213864750 = 23253118641
BaseRepresentation
bin11001011111101…
…01000100101110
3112220102110021200
430233311010232
5414222133000
633115510330
75204551251
oct1457650456
9486373250
10213864750
11aa7a2830
125b7583a6
13353cccb8
1420591098
1513b97500
hexcbf512e

213864750 has 96 divisors (see below), whose sum is σ = 630935136. Its totient is φ = 51840000.

The previous prime is 213864661. The next prime is 213864751. The reversal of 213864750 is 57468312.

213864750 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 647 + 5 + 0 = 666.

213864750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213864751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20430 + ... + 29070.

It is an arithmetic number, because the mean of its divisors is an integer number (6572241).

Almost surely, 2213864750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213864750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315467568).

213864750 is an abundant number, since it is smaller than the sum of its proper divisors (417070386).

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

213864750 is a wasteful number, since it uses less digits than its factorization.

213864750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 213864750 is about 14624.1153578601. The cubic root of 213864750 is about 598.0163658866.

The spelling of 213864750 in words is "two hundred thirteen million, eight hundred sixty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 125 150 165 198 225 250 275 330 375 450 495 550 750 825 990 1125 1375 1650 2250 2475 2750 4125 4950 8250 8641 12375 17282 24750 25923 43205 51846 77769 86410 95051 129615 155538 190102 216025 259230 285153 388845 432050 475255 570306 648075 777690 855459 950510 1080125 1296150 1425765 1710918 1944225 2160250 2376275 2851530 3240375 3888450 4277295 4752550 6480750 7128825 8554590 9721125 11881375 14257650 19442250 21386475 23762750 35644125 42772950 71288250 106932375 213864750