Search a number
-
+
2122230 = 2351159109
BaseRepresentation
bin1000000110000111110110
310222211011010
420012013312
51020402410
6113253050
724016155
oct10060766
93884133
102122230
11121a510
12864186
13593c76
143d359c
152bdc20
hex2061f6

2122230 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 501120.

The previous prime is 2122213. The next prime is 2122231. The reversal of 2122230 is 322212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19416 + ... + 19524.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

22122230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2122230 is an abundant number, since it is smaller than the sum of its proper divisors (3580170).

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

2122230 is a wasteful number, since it uses less digits than its factorization.

2122230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2122230 is about 1456.7875617261. The cubic root of 2122230 is about 128.5081928896.

Adding to 2122230 its reverse (322212), we get a palindrome (2444442).

It can be divided in two parts, 212 and 2230, that added together give a palindrome (2442).

The spelling of 2122230 in words is "two million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 109 110 118 165 177 218 295 327 330 354 545 590 649 654 885 1090 1199 1298 1635 1770 1947 2398 3245 3270 3597 3894 5995 6431 6490 7194 9735 11990 12862 17985 19293 19470 32155 35970 38586 64310 70741 96465 141482 192930 212223 353705 424446 707410 1061115 2122230