Search a number
-
+
2243220 = 223573109
BaseRepresentation
bin1000100011101010010100
311012222010020
420203222110
51033240340
6120025140
725032000
oct10435224
94188106
102243220
1112a2401
129021b0
13607065
14425700
152e49d0
hex223a94

2243220 has 96 divisors (see below), whose sum is σ = 7392000. Its totient is φ = 508032.

The previous prime is 2243209. The next prime is 2243221. The reversal of 2243220 is 223422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2243220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20526 + ... + 20634.

It is an arithmetic number, because the mean of its divisors is an integer number (77000).

22243220 is an apocalyptic number.

2243220 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 2243220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696000).

2243220 is an abundant number, since it is smaller than the sum of its proper divisors (5148780).

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

2243220 is a wasteful number, since it uses less digits than its factorization.

2243220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2243220 is about 1497.7382948967. The cubic root of 2243220 is about 130.9053178276.

Adding to 2243220 its reverse (223422), we get a palindrome (2466642).

The spelling of 2243220 in words is "two million, two hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 109 140 147 196 210 218 245 294 327 343 420 436 490 545 588 654 686 735 763 980 1029 1090 1308 1372 1470 1526 1635 1715 2058 2180 2289 2940 3052 3270 3430 3815 4116 4578 5145 5341 6540 6860 7630 9156 10290 10682 11445 15260 16023 20580 21364 22890 26705 32046 37387 45780 53410 64092 74774 80115 106820 112161 149548 160230 186935 224322 320460 373870 448644 560805 747740 1121610 2243220