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212832238212 = 2232111928287113
BaseRepresentation
bin1100011000110111001…
…0100011101010000100
3202100100122101221001100
43012031302203222010
511441340023110322
6241435045300100
721243116114136
oct3061562435204
9670318357040
10212832238212
1182297282750
12352b9104630
13170baa13539
14a43045b056
155809cd8dac
hex318dca3a84

212832238212 has 72 divisors (see below), whose sum is σ = 617790569760. Its totient is φ = 61100161920.

The previous prime is 212832238211. The next prime is 212832238243.

212832238212 is a `hidden beast` number, since 212 + 8 + 3 + 223 + 8 + 212 = 666.

212832238212 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (212832238211) 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, 14136033 + ... + 14151080.

It is an arithmetic number, because the mean of its divisors is an integer number (8580424580).

Almost surely, 2212832238212 is an apocalyptic number.

212832238212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212832238212 is an abundant number, since it is smaller than the sum of its proper divisors (404958331548).

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

212832238212 is a wasteful number, since it uses less digits than its factorization.

212832238212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28287153 (or 28287148 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 212832238212 in words is "two hundred twelve billion, eight hundred thirty-two million, two hundred thirty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 28287113 56574226 84861339 113148452 169722678 254584017 311158243 339445356 509168034 537455147 622316486 933474729 1018336068 1074910294 1244632972 1612365441 1866949458 2149820588 2800424187 3224730882 3733898916 4837096323 5600848374 5912006617 6449461764 9674192646 11201696748 11824013234 17736019851 19348385292 23648026468 35472039702 53208059553 70944079404 106416119106 212832238212