Search a number
-
+
2230360 = 2351137137
BaseRepresentation
bin1000100000100001011000
311012022110221
420200201120
51032332420
6115445424
724646336
oct10404130
94168427
102230360
111293780
128b6874
13601252
14420b56
152e0caa
hex220858

2230360 has 64 divisors (see below), whose sum is σ = 5663520. Its totient is φ = 783360.

The previous prime is 2230351. The next prime is 2230409. The reversal of 2230360 is 630322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16212 + ... + 16348.

22230360 is an apocalyptic number.

2230360 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 2230360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831760).

2230360 is an abundant number, since it is smaller than the sum of its proper divisors (3433160).

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

2230360 is a wasteful number, since it uses less digits than its factorization.

2230360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2230360 is about 1493.4389843579. The cubic root of 2230360 is about 130.6546856061.

Adding to 2230360 its reverse (630322), we get a palindrome (2860682).

The spelling of 2230360 in words is "two million, two hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 137 148 185 220 274 296 370 407 440 548 685 740 814 1096 1370 1480 1507 1628 2035 2740 3014 3256 4070 5069 5480 6028 7535 8140 10138 12056 15070 16280 20276 25345 30140 40552 50690 55759 60280 101380 111518 202760 223036 278795 446072 557590 1115180 2230360