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2612220 = 22351317197
BaseRepresentation
bin1001111101101111111100
311220201021220
421331233330
51132042340
6131553340
731126542
oct11755774
94821256
102612220
111524666
12a5b850
13705cc0
144bdd92
15368ed0
hex27dbfc

2612220 has 96 divisors (see below), whose sum is σ = 8382528. Its totient is φ = 602112.

The previous prime is 2612209. The next prime is 2612243. The reversal of 2612220 is 222162.

2612220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 2612220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13162 + ... + 13358.

It is an arithmetic number, because the mean of its divisors is an integer number (87318).

22612220 is an apocalyptic number.

2612220 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 2612220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191264).

2612220 is an abundant number, since it is smaller than the sum of its proper divisors (5770308).

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

2612220 is a wasteful number, since it uses less digits than its factorization.

2612220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2612220 is about 1616.2363688520. The cubic root of 2612220 is about 137.7219775387.

Adding to 2612220 its reverse (222162), we get a palindrome (2834382).

It can be divided in two parts, 26 and 12220, that added together give a triangular number (12246 = T156).

The spelling of 2612220 in words is "two million, six hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 197 204 221 255 260 340 390 394 442 510 591 663 780 788 884 985 1020 1105 1182 1326 1970 2210 2364 2561 2652 2955 3315 3349 3940 4420 5122 5910 6630 6698 7683 10047 10244 11820 12805 13260 13396 15366 16745 20094 25610 30732 33490 38415 40188 43537 50235 51220 66980 76830 87074 100470 130611 153660 174148 200940 217685 261222 435370 522444 653055 870740 1306110 2612220