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206985084 = 223181233409
BaseRepresentation
bin11000101011001…
…01011101111100
3112102110221011020
430111211131330
5410442010314
632312224140
75062226025
oct1425453574
9472427136
10206985084
11a6923a59
125939b050
1333b617a7
141d6bdc4c
1513288da9
hexc56577c

206985084 has 48 divisors (see below), whose sum is σ = 488910240. Its totient is φ = 68152320.

The previous prime is 206985029. The next prime is 206985089. The reversal of 206985084 is 480589602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206985089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505872 + ... + 506280.

It is an arithmetic number, because the mean of its divisors is an integer number (10185630).

Almost surely, 2206985084 is an apocalyptic number.

It is an amenable number.

206985084 is an abundant number, since it is smaller than the sum of its proper divisors (281925156).

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

206985084 is a wasteful number, since it uses less digits than its factorization.

206985084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 206985084 is about 14386.9761937664. The cubic root of 206985084 is about 591.5339610418.

It can be divided in two parts, 2069 and 85084, that added together give a triangular number (87153 = T417).

The spelling of 206985084 in words is "two hundred six million, nine hundred eighty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 181 233 362 409 466 543 699 724 818 932 1086 1227 1398 1636 2172 2454 2796 4908 42173 74029 84346 95297 126519 148058 168692 190594 222087 253038 285891 296116 381188 444174 506076 571782 888348 1143564 17248757 34497514 51746271 68995028 103492542 206985084