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2210085 = 35517107
BaseRepresentation
bin1000011011100100100101
311011021200000
420123210211
51031210320
6115211513
724533253
oct10334445
94137600
102210085
11127a519
128a6b99
135c4c57
144175d3
152d9c90
hex21b925

2210085 has 48 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 1099008.

The previous prime is 2210077. The next prime is 2210107. The reversal of 2210085 is 5800122.

It is not a de Polignac number, because 2210085 - 23 = 2210077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20602 + ... + 20708.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

22210085 is an apocalyptic number.

It is an amenable number.

2210085 is a deficient number, since it is larger than the sum of its proper divisors (2035611).

2210085 is a wasteful number, since it uses less digits than its factorization.

2210085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2210085 is about 1486.6354630507. The cubic root of 2210085 is about 130.2575760984.

The spelling of 2210085 in words is "two million, two hundred ten thousand, eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 107 135 153 243 255 321 405 459 535 765 963 1215 1377 1605 1819 2295 2889 4131 4815 5457 6885 8667 9095 14445 16371 20655 26001 27285 43335 49113 81855 130005 147339 245565 442017 736695 2210085