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2000220 = 2235173753
BaseRepresentation
bin111101000010101011100
310202121210020
413220111130
51003001340
6110512140
723000355
oct7502534
93677706
102000220
111146882
12805650
13550581
143a0d2c
152979d0
hex1e855c

2000220 has 96 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 479232.

The previous prime is 2000209. The next prime is 2000221. The reversal of 2000220 is 220002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2000220 is a modest number, since divided by 220 gives 200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2000199 and 2000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37714 + ... + 37766.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

22000220 is an apocalyptic number.

2000220 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 2000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624).

2000220 is an abundant number, since it is smaller than the sum of its proper divisors (4205028).

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

2000220 is a wasteful number, since it uses less digits than its factorization.

2000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2000220 is about 1414.2913419801. The cubic root of 2000220 is about 125.9967245306.

Adding to 2000220 its reverse (220002), we get a palindrome (2220222).

The spelling of 2000220 in words is "two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 53 60 68 74 85 102 106 111 148 159 170 185 204 212 222 255 265 318 340 370 444 510 530 555 629 636 740 795 901 1020 1060 1110 1258 1590 1802 1887 1961 2220 2516 2703 3145 3180 3604 3774 3922 4505 5406 5883 6290 7548 7844 9010 9435 9805 10812 11766 12580 13515 18020 18870 19610 23532 27030 29415 33337 37740 39220 54060 58830 66674 100011 117660 133348 166685 200022 333370 400044 500055 666740 1000110 2000220