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213150 = 23527229
BaseRepresentation
bin110100000010011110
3101211101110
4310002132
523310100
64322450
71545300
oct640236
9354343
10213150
11136163
12a3426
1376032
1457970
1543250
hex3409e

213150 has 72 divisors (see below), whose sum is σ = 636120. Its totient is φ = 47040.

The previous prime is 213149. The next prime is 213173. The reversal of 213150 is 51312.

Adding to 213150 its reverse (51312), we get a palindrome (264462).

It can be divided in two parts, 213 and 150, that added together give a palindrome (363).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7336 + ... + 7364.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2213150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060).

213150 is an abundant number, since it is smaller than the sum of its proper divisors (422970).

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

213150 is a wasteful number, since it uses less digits than its factorization.

213150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 213150 is about 461.6817085396. The cubic root of 213150 is about 59.7349419055.

The spelling of 213150 in words is "two hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 49 50 58 70 75 87 98 105 145 147 150 174 175 203 210 245 290 294 350 406 435 490 525 609 725 735 870 1015 1050 1218 1225 1421 1450 1470 2030 2175 2450 2842 3045 3675 4263 4350 5075 6090 7105 7350 8526 10150 14210 15225 21315 30450 35525 42630 71050 106575 213150