Search a number
-
+
2001220 = 2251343179
BaseRepresentation
bin111101000100101000100
310202200011021
413220211010
51003014340
6110520524
723003314
oct7504504
93680137
102001220
111147601
12806144
13550b70
143a1444
15297e4a
hex1e8944

2001220 has 48 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 717696.

The previous prime is 2001211. The next prime is 2001229. The reversal of 2001220 is 221002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001211) and next prime (2001229).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2001229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11091 + ... + 11269.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

22001220 is an apocalyptic number.

2001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2001220 is the 895-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2001220 is an abundant number, since it is smaller than the sum of its proper divisors (2655740).

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

2001220 is a wasteful number, since it uses less digits than its factorization.

2001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2001220 is about 1414.6448317511. The cubic root of 2001220 is about 126.0177181769.

Adding to 2001220 its reverse (221002), we get a palindrome (2222222).

The spelling of 2001220 in words is "two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 179 215 260 358 430 559 716 860 895 1118 1790 2236 2327 2795 3580 4654 5590 7697 9308 11180 11635 15394 23270 30788 38485 46540 76970 100061 153940 200122 400244 500305 1000610 2001220