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2648220 = 22351923101
BaseRepresentation
bin1010000110100010011100
311222112200020
422012202130
51134220340
6132432140
731336521
oct12064234
94875606
102648220
111549713
12a78650
137194c3
144cd148
153749d0
hex28689c

2648220 has 96 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 633600.

The previous prime is 2648213. The next prime is 2648227. The reversal of 2648220 is 228462.

2648220 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 (2648213) and next prime (2648227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648227) 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, 26170 + ... + 26270.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

22648220 is an apocalyptic number.

2648220 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 2648220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2648220 is an abundant number, since it is smaller than the sum of its proper divisors (5577060).

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

2648220 is a wasteful number, since it uses less digits than its factorization.

2648220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2648220 is about 1627.3352451170. The cubic root of 2648220 is about 138.3517596138.

The spelling of 2648220 in words is "two million, six hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 101 114 115 138 190 202 228 230 276 285 303 345 380 404 437 460 505 570 606 690 874 1010 1140 1212 1311 1380 1515 1748 1919 2020 2185 2323 2622 3030 3838 4370 4646 5244 5757 6060 6555 6969 7676 8740 9292 9595 11514 11615 13110 13938 19190 23028 23230 26220 27876 28785 34845 38380 44137 46460 57570 69690 88274 115140 132411 139380 176548 220685 264822 441370 529644 662055 882740 1324110 2648220