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2006220 = 2235291153
BaseRepresentation
bin111101001110011001100
310202221000110
413221303030
51003144340
6111000020
723024016
oct7516314
93687013
102006220
111150337
12809010
13553218
143a31b6
15299680
hex1e9ccc

2006220 has 48 divisors (see below), whose sum is σ = 5816160. Its totient is φ = 516096.

The previous prime is 2006201. The next prime is 2006231. The reversal of 2006220 is 226002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2006196 and 2006205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164 + ... + 2316.

It is an arithmetic number, because the mean of its divisors is an integer number (121170).

22006220 is an apocalyptic number.

2006220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908080).

2006220 is an abundant number, since it is smaller than the sum of its proper divisors (3809940).

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

2006220 is a wasteful number, since it uses less digits than its factorization.

2006220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

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

The square root of 2006220 is about 1416.4109573143. The cubic root of 2006220 is about 126.1225816375.

The spelling of 2006220 in words is "two million, six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1153 1740 2306 3459 4612 5765 6918 11530 13836 17295 23060 33437 34590 66874 69180 100311 133748 167185 200622 334370 401244 501555 668740 1003110 2006220