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212958 = 23211831
BaseRepresentation
bin110011111111011110
3101211010100
4303333132
523303313
64321530
71544604
oct637736
9354110
10212958
11135aa9
12a32a6
1375c15
1457874
1543173
hex33fde

212958 has 12 divisors (see below), whose sum is σ = 461448. Its totient is φ = 70980.

The previous prime is 212923. The next prime is 212969. The reversal of 212958 is 859212.

212958 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×2129582 = 90702219528, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212958.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5898 + ... + 5933.

It is an arithmetic number, because the mean of its divisors is an integer number (38454).

2212958 is an apocalyptic number.

212958 is an abundant number, since it is smaller than the sum of its proper divisors (248490).

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

212958 is a wasteful number, since it uses less digits than its factorization.

212958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839 (or 11836 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 212958 is about 461.4737262293. The cubic root of 212958 is about 59.7170006211.

It can be divided in two parts, 2129 and 58, that added together give a 7-th power (2187 = 37).

The spelling of 212958 in words is "two hundred twelve thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 11831 23662 35493 70986 106479 212958