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212796 = 223223257
BaseRepresentation
bin110011111100111100
3101210220100
4303330330
523302141
64321100
71544253
oct637474
9353810
10212796
11135971
12a3190
1375b1c
145779a
15430b6
hex33f3c

212796 has 36 divisors (see below), whose sum is σ = 563472. Its totient is φ = 67584.

The previous prime is 212791. The next prime is 212801. The reversal of 212796 is 697212.

It is an interprime number because it is at equal distance from previous prime (212791) and next prime (212801).

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212791) by changing a digit.

212796 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (15652).

2212796 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 212796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281736).

212796 is an abundant number, since it is smaller than the sum of its proper divisors (350676).

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

212796 is a wasteful number, since it uses less digits than its factorization.

212796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 212796 is about 461.2981682166. The cubic root of 212796 is about 59.7018542727.

Subtracting 212796 from its reverse (697212), we obtain a square (484416 = 6962).

The spelling of 212796 in words is "two hundred twelve thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 257 276 414 514 771 828 1028 1542 2313 3084 4626 5911 9252 11822 17733 23644 35466 53199 70932 106398 212796