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2223320 = 2351131163
BaseRepresentation
bin1000011110110011011000
311011221211012
420132303120
51032121240
6115353052
724616661
oct10366330
94157735
102223320
111289460
128b2788
135cac98
1441c368
152ddb65
hex21ecd8

2223320 has 64 divisors (see below), whose sum is σ = 5667840. Its totient is φ = 777600.

The previous prime is 2223317. The next prime is 2223329. The reversal of 2223320 is 233222.

2223320 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 = 2223295 and 2223304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223329) 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, 13559 + ... + 13721.

It is an arithmetic number, because the mean of its divisors is an integer number (88560).

22223320 is an apocalyptic number.

2223320 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 2223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833920).

2223320 is an abundant number, since it is smaller than the sum of its proper divisors (3444520).

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

2223320 is a wasteful number, since it uses less digits than its factorization.

2223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2223320 is about 1491.0801453980. The cubic root of 2223320 is about 130.5170727750.

Adding to 2223320 its reverse (233222), we get a palindrome (2456542).

It can be divided in two parts, 2 and 223320, that added together give a palindrome (223322).

The spelling of 2223320 in words is "two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 163 220 248 310 326 341 440 620 652 682 815 1240 1304 1364 1630 1705 1793 2728 3260 3410 3586 5053 6520 6820 7172 8965 10106 13640 14344 17930 20212 25265 35860 40424 50530 55583 71720 101060 111166 202120 222332 277915 444664 555830 1111660 2223320