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212325660 = 223255919993
BaseRepresentation
bin11001010011111…
…01010100011100
3112210112021001100
430221331110130
5413323410120
633022513100
75155511151
oct1451752434
9483467040
10212325660
11a9941458
125b135790
1334cb15b1
14202b0228
1513991490
hexca7d51c

212325660 has 72 divisors (see below), whose sum is σ = 655003440. Its totient is φ = 55657728.

The previous prime is 212325653. The next prime is 212325671. The reversal of 212325660 is 66523212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624 + ... + 20616.

It is an arithmetic number, because the mean of its divisors is an integer number (9097270).

Almost surely, 2212325660 is an apocalyptic number.

212325660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212325660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327501720).

212325660 is an abundant number, since it is smaller than the sum of its proper divisors (442677780).

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

212325660 is a wasteful number, since it uses less digits than its factorization.

212325660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20067 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 212325660 is about 14571.3986974484. The cubic root of 212325660 is about 596.5783576986.

Adding to 212325660 its reverse (66523212), we get a palindrome (278848872).

The spelling of 212325660 in words is "two hundred twelve million, three hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 19993 39986 59979 79972 99965 119958 179937 199930 239916 299895 359874 399860 599790 719748 899685 1179587 1199580 1799370 2359174 3538761 3598740 4718348 5897935 7077522 10616283 11795870 14155044 17693805 21232566 23591740 35387610 42465132 53081415 70775220 106162830 212325660