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212583085 = 511213151179
BaseRepresentation
bin11001010101111…
…00001010101101
3112211000100011121
430222330022231
5413410124320
633032220541
75160632521
oct1452741255
9484010147
10212583085
11a9aa7900
125b23a751
1335071810
1420339d81
15139e28aa
hexcabc2ad

212583085 has 48 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 140976000.

The previous prime is 212583047. The next prime is 212583097. The reversal of 212583085 is 580385212.

It is not a de Polignac number, because 212583085 - 213 = 212574893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212583085.

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, 1187526 + ... + 1187704.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2212583085 is an apocalyptic number.

It is an amenable number.

212583085 is a deficient number, since it is larger than the sum of its proper divisors (93082835).

212583085 is a wasteful number, since it uses less digits than its factorization.

212583085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 212583085 is about 14580.2292505982. The cubic root of 212583085 is about 596.8193588109.

The spelling of 212583085 in words is "two hundred twelve million, five hundred eighty-three thousand, eighty-five".

Divisors: 1 5 11 13 55 65 121 143 151 179 605 715 755 895 1573 1661 1963 1969 2327 7865 8305 9815 9845 11635 18271 21593 21659 25597 27029 91355 107965 108295 127985 135145 237523 281567 297319 351377 1187615 1407835 1486595 1756885 3270509 3865147 16352545 19325735 42516617 212583085