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2422116 = 223341547
BaseRepresentation
bin1001001111010101100100
311120001112000
421033111210
51110001431
6123525300
726405364
oct11172544
94501460
102422116
111404854
12989830
1366a608
144709a4
1532c9e6
hex24f564

2422116 has 48 divisors (see below), whose sum is σ = 6444480. Its totient is φ = 786240.

The previous prime is 2422111. The next prime is 2422169. The reversal of 2422116 is 6112242.

2422116 is digitally balanced in base 2, 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 (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2422111) 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 15 ways as a sum of consecutive naturals, for example, 4155 + ... + 4701.

It is an arithmetic number, because the mean of its divisors is an integer number (134260).

22422116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222240).

2422116 is an abundant number, since it is smaller than the sum of its proper divisors (4022364).

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

2422116 is a wasteful number, since it uses less digits than its factorization.

2422116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2422116 is about 1556.3148781657. The cubic root of 2422116 is about 134.2965881815.

Adding to 2422116 its reverse (6112242), we get a palindrome (8534358).

The spelling of 2422116 in words is "two million, four hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 547 738 1094 1107 1476 1641 2188 2214 3282 4428 4923 6564 9846 14769 19692 22427 29538 44854 59076 67281 89708 134562 201843 269124 403686 605529 807372 1211058 2422116