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212326968 = 23372295519
BaseRepresentation
bin11001010011111…
…01101000111000
3112210112022211210
430221331220320
5413323430333
633022523120
75155515030
oct1451755070
9483468753
10212326968
11a9942437
125b1364a0
1334cb2079
14202b08c0
1513991a63
hexca7da38

212326968 has 64 divisors (see below), whose sum is σ = 609408000. Its totient is φ = 60388992.

The previous prime is 212326963. The next prime is 212327021. The reversal of 212326968 is 869623212.

It is a happy number.

It is a super-3 number, since 3×2123269683 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212326963) 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, 35713 + ... + 41231.

It is an arithmetic number, because the mean of its divisors is an integer number (9522000).

Almost surely, 2212326968 is an apocalyptic number.

212326968 is a gapful number since it is divisible by the number (28) 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 212326968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304704000).

212326968 is an abundant number, since it is smaller than the sum of its proper divisors (397081032).

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

212326968 is a wasteful number, since it uses less digits than its factorization.

212326968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5760 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 212326968 is about 14571.4435798242. The cubic root of 212326968 is about 596.5795827395.

The spelling of 212326968 in words is "two hundred twelve million, three hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1374 1603 1832 2748 3206 4809 5496 5519 6412 9618 11038 12824 16557 19236 22076 33114 38472 38633 44152 66228 77266 115899 132456 154532 231798 309064 463596 927192 1263851 2527702 3791553 5055404 7583106 8846957 10110808 15166212 17693914 26540871 30332424 35387828 53081742 70775656 106163484 212326968