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212892 = 223113157
BaseRepresentation
bin110011111110011100
3101211000220
4303332130
523303032
64321340
71544451
oct637634
9354026
10212892
11135a49
12a3250
1375b94
1457828
154312c
hex33f9c

212892 has 24 divisors (see below), whose sum is σ = 504336. Its totient is φ = 69888.

The previous prime is 212881. The next prime is 212897. The reversal of 212892 is 298212.

212892 is nontrivially palindromic in base 7.

It is a zygodrome in base 2.

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 212892.

It is not an unprimeable number, because it can be changed into a prime (212897) 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, 1278 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (21014).

2212892 is an apocalyptic number.

It is an amenable number.

212892 is an abundant number, since it is smaller than the sum of its proper divisors (291444).

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

212892 is a wasteful number, since it uses less digits than its factorization.

212892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 212892 is about 461.4022106579. The cubic root of 212892 is about 59.7108308141.

The spelling of 212892 in words is "two hundred twelve thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 113 157 226 314 339 452 471 628 678 942 1356 1884 17741 35482 53223 70964 106446 212892