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2263044 = 223729929
BaseRepresentation
bin1000101000100000000100
311020222022110
420220200010
51034404134
6120301020
725143540
oct10504004
94228273
102263044
111306293
12911770
136130a4
1442ca20
152ea7e9
hex228804

2263044 has 48 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 623616.

The previous prime is 2263007. The next prime is 2263061. The reversal of 2263044 is 4403622.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2263044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

22263044 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 2263044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2263044 is an abundant number, since it is smaller than the sum of its proper divisors (3986556).

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

2263044 is a wasteful number, since it uses less digits than its factorization.

2263044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2263044 is about 1504.3417164993. The cubic root of 2263044 is about 131.2898038006.

Adding to 2263044 its reverse (4403622), we get a palindrome (6666666).

The spelling of 2263044 in words is "two million, two hundred sixty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 929 1218 1858 2436 2787 3716 5574 6503 11148 13006 19509 26012 26941 39018 53882 78036 80823 107764 161646 188587 323292 377174 565761 754348 1131522 2263044