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2422420 = 225711313
BaseRepresentation
bin1001001111011010010100
311120001221021
421033122110
51110004140
6123530524
726406310
oct11173224
94501837
102422420
111405000
12989a44
1366a7b0
14470b40
1532cb4a
hex24f694

2422420 has 96 divisors (see below), whose sum is σ = 6886656. Its totient is φ = 696960.

The previous prime is 2422411. The next prime is 2422421. The reversal of 2422420 is 242242.

2422420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2422394 and 2422403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422421) 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, 186334 + ... + 186346.

It is an arithmetic number, because the mean of its divisors is an integer number (71736).

22422420 is an apocalyptic number.

2422420 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 2422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443328).

2422420 is an abundant number, since it is smaller than the sum of its proper divisors (4464236).

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

2422420 is a wasteful number, since it uses less digits than its factorization.

2422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2422420 is about 1556.4125417125. The cubic root of 2422420 is about 134.3022064721.

Adding to 2422420 its reverse (242242), we get a palindrome (2664662).

It can be divided in two parts, 242 and 2420, that added together give a palindrome (2662).

The spelling of 2422420 in words is "two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1331 1430 1540 1573 1694 1820 2002 2420 2662 2860 3146 3388 4004 4235 5005 5324 6292 6655 7865 8470 9317 10010 11011 13310 15730 16940 17303 18634 20020 22022 26620 31460 34606 37268 44044 46585 55055 69212 86515 93170 110110 121121 173030 186340 220220 242242 346060 484484 605605 1211210 2422420