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212296 = 23717223
BaseRepresentation
bin110011110101001000
3101210012211
4303311020
523243141
64314504
71542640
oct636510
9353184
10212296
11135557
12a2a34
1375826
1457520
1542d81
hex33d48

212296 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 85248.

The previous prime is 212293. The next prime is 212297. The reversal of 212296 is 692212.

It is a happy number.

212296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2212296 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 212296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

212296 is an abundant number, since it is smaller than the sum of its proper divisors (271544).

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

212296 is a wasteful number, since it uses less digits than its factorization.

212296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 212296 is about 460.7559006676. The cubic root of 212296 is about 59.6550577514.

The spelling of 212296 in words is "two hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 223 238 446 476 892 952 1561 1784 3122 3791 6244 7582 12488 15164 26537 30328 53074 106148 212296