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212188860 = 223251390679
BaseRepresentation
bin11001010010110…
…11111010111100
3112210021022101200
430221123322330
5413310020420
633015535500
75154401262
oct1451337274
9483238350
10212188860
11a98586a4
125b08a590
1334c64250
1420276432
1513965b90
hexca5bebc

212188860 has 72 divisors (see below), whose sum is σ = 693157920. Its totient is φ = 52230528.

The previous prime is 212188819. The next prime is 212188861. The reversal of 212188860 is 68881212.

212188860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121888602 = 90048224616199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212188861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43000 + ... + 47679.

Almost surely, 2212188860 is an apocalyptic number.

212188860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212188860 is an abundant number, since it is smaller than the sum of its proper divisors (480969060).

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

212188860 is a wasteful number, since it uses less digits than its factorization.

212188860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90707 (or 90702 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 212188860 is about 14566.7038138352. The cubic root of 212188860 is about 596.4502063595.

The spelling of 212188860 in words is "two hundred twelve million, one hundred eighty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 90679 181358 272037 362716 453395 544074 816111 906790 1088148 1178827 1360185 1632222 1813580 2357654 2720370 3264444 3536481 4080555 4715308 5440740 5894135 7072962 8161110 10609443 11788270 14145924 16322220 17682405 21218886 23576540 35364810 42437772 53047215 70729620 106094430 212188860