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212319 = 3231761
BaseRepresentation
bin110011110101011111
3101210020200
4303311133
523243234
64314543
71543002
oct636537
9353220
10212319
11135578
12a2a53
1375843
1457539
1542d99
hex33d5f

212319 has 12 divisors (see below), whose sum is σ = 316992. Its totient is φ = 136800.

The previous prime is 212297. The next prime is 212353. The reversal of 212319 is 913212.

It is a happy number.

It is not a de Polignac number, because 212319 - 212 = 208223 is a prime.

It is a super-2 number, since 2×2123192 = 90158715522, which contains 22 as substring.

It is an Ulam number.

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 (212369) 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, 102 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (26416).

2212319 is an apocalyptic number.

212319 is a deficient number, since it is larger than the sum of its proper divisors (104673).

212319 is a wasteful number, since it uses less digits than its factorization.

212319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 795 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 212319 is about 460.7808589775. The cubic root of 212319 is about 59.6572120027.

It can be divided in two parts, 2 and 12319, that added together give a palindrome (12321).

The spelling of 212319 in words is "two hundred twelve thousand, three hundred nineteen".

Divisors: 1 3 9 31 93 279 761 2283 6849 23591 70773 212319