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212058 = 23471117
BaseRepresentation
bin110011110001011010
3101202220000
4303301122
523241213
64313430
71542150
oct636132
9352800
10212058
11135360
12a2876
13756a2
14573d0
1542c73
hex33c5a

212058 has 80 divisors (see below), whose sum is σ = 627264. Its totient is φ = 51840.

The previous prime is 212057. The next prime is 212081. The reversal of 212058 is 850212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212058.

It is not an unprimeable number, because it can be changed into a prime (212057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12466 + ... + 12482.

2212058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313632).

212058 is an abundant number, since it is smaller than the sum of its proper divisors (415206).

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

212058 is a wasteful number, since it uses less digits than its factorization.

212058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212058 is about 460.4975569968. The cubic root of 212058 is about 59.6327567932.

212058 divided by its sum of digits (18) gives a triangular number (11781 = T153).

The spelling of 212058 in words is "two hundred twelve thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 81 99 102 119 126 153 154 162 187 189 198 231 238 297 306 357 374 378 459 462 561 567 594 693 714 891 918 1071 1122 1134 1309 1377 1386 1683 1782 2079 2142 2618 2754 3213 3366 3927 4158 5049 6237 6426 7854 9639 10098 11781 12474 15147 19278 23562 30294 35343 70686 106029 212058