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212850 = 232521143
BaseRepresentation
bin110011111101110010
3101210222100
4303331302
523302400
64321230
71544361
oct637562
9353870
10212850
11135a10
12a3216
1375b61
14577d8
1543100
hex33f72

212850 has 72 divisors (see below), whose sum is σ = 638352. Its totient is φ = 50400.

The previous prime is 212843. The next prime is 212851. The reversal of 212850 is 58212.

212850 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (212851) by changing a digit.

212850 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4929 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (8866).

2212850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176).

212850 is an abundant number, since it is smaller than the sum of its proper divisors (425502).

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

212850 is a wasteful number, since it uses less digits than its factorization.

212850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

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

The square root of 212850 is about 461.3566949769. The cubic root of 212850 is about 59.7069039094.

The spelling of 212850 in words is "two hundred twelve thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 43 45 50 55 66 75 86 90 99 110 129 150 165 198 215 225 258 275 330 387 430 450 473 495 550 645 774 825 946 990 1075 1290 1419 1650 1935 2150 2365 2475 2838 3225 3870 4257 4730 4950 6450 7095 8514 9675 11825 14190 19350 21285 23650 35475 42570 70950 106425 212850