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2220336 = 243217907
BaseRepresentation
bin1000011110000100110000
311011210201200
420132010300
51032022321
6115331200
724605166
oct10360460
94153650
102220336
111287198
128b0b00
135c9811
1441b236
152dcd26
hex21e130

2220336 has 60 divisors (see below), whose sum is σ = 6586632. Its totient is φ = 695808.

The previous prime is 2220331. The next prime is 2220349. The reversal of 2220336 is 6330222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2220331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1995 + ... + 2901.

22220336 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 2220336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293316).

2220336 is an abundant number, since it is smaller than the sum of its proper divisors (4366296).

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

2220336 is a wasteful number, since it uses less digits than its factorization.

2220336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2220336 is about 1490.0791925264. The cubic root of 2220336 is about 130.4586560360.

Adding to 2220336 its reverse (6330222), we get a palindrome (8550558).

It can be divided in two parts, 2220 and 336, that added together give a triangular number (2556 = T71).

The spelling of 2220336 in words is "two million, two hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 907 1224 1814 2448 2721 3628 5442 7256 8163 10884 14512 15419 16326 21768 30838 32652 43536 46257 61676 65304 92514 123352 130608 138771 185028 246704 277542 370056 555084 740112 1110168 2220336