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216098085 = 35724171101
BaseRepresentation
bin11001110000101…
…10010100100101
3120001121220211210
430320112110211
5420310114320
633235422033
75232542400
oct1470262445
9501556753
10216098085
11100a88765
1260454919
1335a026b8
14209b2d37
1513e890e0
hexce16525

216098085 has 96 divisors (see below), whose sum is σ = 421956864. Its totient is φ = 94080000.

The previous prime is 216098083. The next prime is 216098089. The reversal of 216098085 is 580890612.

It is not a de Polignac number, because 216098085 - 21 = 216098083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216098081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2139535 + ... + 2139635.

It is an arithmetic number, because the mean of its divisors is an integer number (4395384).

Almost surely, 2216098085 is an apocalyptic number.

It is an amenable number.

216098085 is a deficient number, since it is larger than the sum of its proper divisors (205858779).

216098085 is a wasteful number, since it uses less digits than its factorization.

216098085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 216098085 is about 14700.2749974278. The cubic root of 216098085 is about 600.0908057010.

The spelling of 216098085 in words is "two hundred sixteen million, ninety-eight thousand, eighty-five".

Divisors: 1 3 5 7 15 21 35 41 49 71 101 105 123 147 205 213 245 287 303 355 497 505 615 707 735 861 1065 1435 1491 1515 2009 2121 2485 2911 3479 3535 4141 4305 4949 6027 7171 7455 8733 10045 10437 10605 12423 14555 14847 17395 20377 20705 21513 24745 28987 30135 35855 43665 50197 52185 61131 62115 74235 86961 101885 107565 142639 144935 150591 202909 250985 294011 305655 351379 427917 434805 608727 713195 752955 882033 1014545 1054137 1470055 1756895 2058077 2139585 3043635 4410165 5270685 6174231 10290385 14406539 30871155 43219617 72032695 216098085