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216138210 = 235431311279
BaseRepresentation
bin11001110001000…
…00000111100010
3120001200221212220
430320200013202
5420312410320
633240331510
75233100361
oct1470400742
9501627786
10216138210
11101005922
1260473b96
1335a17a42
14209c37d8
1513e95e40
hexce201e2

216138210 has 64 divisors (see below), whose sum is σ = 535265280. Its totient is φ = 55823040.

The previous prime is 216138203. The next prime is 216138211. The reversal of 216138210 is 12831612.

It is not an unprimeable number, because it can be changed into a prime (216138211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168351 + ... + 169629.

It is an arithmetic number, because the mean of its divisors is an integer number (8363520).

Almost surely, 2216138210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216138210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267632640).

216138210 is an abundant number, since it is smaller than the sum of its proper divisors (319127070).

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

216138210 is a wasteful number, since it uses less digits than its factorization.

216138210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 216138210 is about 14701.6397044683. The cubic root of 216138210 is about 600.1279449371.

Adding to 216138210 its reverse (12831612), we get a palindrome (228969822).

The spelling of 216138210 in words is "two hundred sixteen million, one hundred thirty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 131 215 258 262 393 430 645 655 786 1279 1290 1310 1965 2558 3837 3930 5633 6395 7674 11266 12790 16899 19185 28165 33798 38370 54997 56330 84495 109994 164991 167549 168990 274985 329982 335098 502647 549970 824955 837745 1005294 1649910 1675490 2513235 5026470 7204607 14409214 21613821 36023035 43227642 72046070 108069105 216138210