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2243826 = 2321343223
BaseRepresentation
bin1000100011110011110010
311012222221200
420203303302
51033300301
6120032030
725033524
oct10436362
94188850
102243826
1112a2902
12902616
13607410
14425a14
152e4c86
hex223cf2

2243826 has 48 divisors (see below), whose sum is σ = 5381376. Its totient is φ = 671328.

The previous prime is 2243821. The next prime is 2243833. The reversal of 2243826 is 6283422.

2243826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2243826.

It is not an unprimeable number, because it can be changed into a prime (2243821) 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 23 ways as a sum of consecutive naturals, for example, 9951 + ... + 10173.

It is an arithmetic number, because the mean of its divisors is an integer number (112112).

22243826 is an apocalyptic number.

2243826 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690688).

2243826 is an abundant number, since it is smaller than the sum of its proper divisors (3137550).

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

2243826 is a wasteful number, since it uses less digits than its factorization.

2243826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 284 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2243826 is about 1497.9405862717. The cubic root of 2243826 is about 130.9171046757.

The spelling of 2243826 in words is "two million, two hundred forty-three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 223 234 258 387 446 559 669 774 1118 1338 1677 2007 2899 3354 4014 5031 5798 8697 9589 10062 17394 19178 26091 28767 52182 57534 86301 124657 172602 249314 373971 747942 1121913 2243826