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2180220 = 2235729179
BaseRepresentation
bin1000010100010001111100
311002202200220
420110101330
51024231340
6114421340
724350220
oct10242174
94082626
102180220
11125a039
12891850
135b4493
1440a780
152d0ed0
hex21447c

2180220 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 478464.

The previous prime is 2180219. The next prime is 2180221. The reversal of 2180220 is 220812.

2180220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2180219) and next prime (2180221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2180220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180221) 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, 12091 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22180220 is an apocalyptic number.

2180220 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 2180220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2180220 is an abundant number, since it is smaller than the sum of its proper divisors (5077380).

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

2180220 is a wasteful number, since it uses less digits than its factorization.

2180220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2180220 is about 1476.5568055446. The cubic root of 2180220 is about 129.6681873308.

The spelling of 2180220 in words is "two million, one hundred eighty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 179 203 210 290 348 358 406 420 435 537 580 609 716 812 870 895 1015 1074 1218 1253 1740 1790 2030 2148 2436 2506 2685 3045 3580 3759 4060 5012 5191 5370 6090 6265 7518 10382 10740 12180 12530 15036 15573 18795 20764 25060 25955 31146 36337 37590 51910 62292 72674 75180 77865 103820 109011 145348 155730 181685 218022 311460 363370 436044 545055 726740 1090110 2180220