Search a number
-
+
2223360 = 28325193
BaseRepresentation
bin1000011110110100000000
311011221212200
420132310000
51032121420
6115353200
724620046
oct10366400
94157780
102223360
111289497
128b2800
135cacc9
1441c396
152ddb90
hex21ed00

2223360 has 108 divisors (see below), whose sum is σ = 7732452. Its totient is φ = 589824.

The previous prime is 2223329. The next prime is 2223371. The reversal of 2223360 is 633222.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 1557504 = 816^2 + 1248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11424 + ... + 11616.

22223360 is an apocalyptic number.

2223360 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 2223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866226).

2223360 is an abundant number, since it is smaller than the sum of its proper divisors (5509092).

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

2223360 is a wasteful number, since it uses less digits than its factorization.

2223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

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

The square root of 2223360 is about 1491.0935584329. The cubic root of 2223360 is about 130.5178554861.

Adding to 2223360 its reverse (633222), we get a palindrome (2856582).

The spelling of 2223360 in words is "two million, two hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 193 240 256 288 320 360 384 386 480 576 579 640 720 768 772 960 965 1152 1158 1280 1440 1544 1737 1920 1930 2304 2316 2880 2895 3088 3474 3840 3860 4632 5760 5790 6176 6948 7720 8685 9264 11520 11580 12352 13896 15440 17370 18528 23160 24704 27792 30880 34740 37056 46320 49408 55584 61760 69480 74112 92640 111168 123520 138960 148224 185280 222336 247040 277920 370560 444672 555840 741120 1111680 2223360