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212168232 = 233212723203
BaseRepresentation
bin11001010010101…
…10111000101000
3112210020021002200
430221112320220
5413303340412
633015300200
75154254163
oct1451267050
9483207080
10212168232
11a9844151
125b07a660
1334c57a43
142026cada
151395e9dc
hexca56e28

212168232 has 48 divisors (see below), whose sum is σ = 579171840. Its totient is φ = 70162848.

The previous prime is 212168227. The next prime is 212168233. The reversal of 212168232 is 232861212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212168196 and 212168205.

It is not an unprimeable number, because it can be changed into a prime (212168233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458 + ... + 20745.

It is an arithmetic number, because the mean of its divisors is an integer number (12066080).

Almost surely, 2212168232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212168232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289585920).

212168232 is an abundant number, since it is smaller than the sum of its proper divisors (367003608).

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

212168232 is a wasteful number, since it uses less digits than its factorization.

212168232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23342 (or 23335 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 212168232 is about 14565.9957435117. The cubic root of 212168232 is about 596.4308777080.

The spelling of 212168232 in words is "two hundred twelve million, one hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 23203 46406 69609 92812 139218 185624 208827 278436 417654 556872 835308 1670616 2946781 5893562 8840343 11787124 17680686 23574248 26521029 35361372 53042058 70722744 106084116 212168232