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216136566 = 233231011723
BaseRepresentation
bin11001110000111…
…11101101110110
3120001200212122000
430320133231312
5420312332231
633240320130
75233062522
oct1470375566
9501625560
10216136566
11101004668
1260473046
1335a17079
14209c2d82
1513e956e6
hexce1fb76

216136566 has 64 divisors (see below), whose sum is σ = 506442240. Its totient is φ = 68191200.

The previous prime is 216136561. The next prime is 216136579. The reversal of 216136566 is 665631612.

216136566 is a `hidden beast` number, since 2 + 1 + 61 + 36 + 566 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216136566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216136561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124581 + ... + 126303.

It is an arithmetic number, because the mean of its divisors is an integer number (7913160).

Almost surely, 2216136566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216136566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253221120).

216136566 is an abundant number, since it is smaller than the sum of its proper divisors (290305674).

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

216136566 is a wasteful number, since it uses less digits than its factorization.

216136566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1852 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 216136566 is about 14701.5837922314. The cubic root of 216136566 is about 600.1264233600.

The spelling of 216136566 in words is "two hundred sixteen million, one hundred thirty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 101 138 202 207 303 414 606 621 909 1242 1723 1818 2323 2727 3446 4646 5169 5454 6969 10338 13938 15507 20907 31014 39629 41814 46521 62721 79258 93042 118887 125442 174023 237774 348046 356661 522069 713322 1044138 1069983 1566207 2139966 3132414 4002529 4698621 8005058 9397242 12007587 24015174 36022761 72045522 108068283 216136566