Search a number
-
+
2220430320 = 24345342659
BaseRepresentation
bin1000010001011001…
…0001001111110000
312201202010112210000
42010112101033300
514021412232240
61004155310000
7106011226533
oct20426211760
95652115700
102220430320
11a3a414189
1251b74b300
132950358c4
14170c78a1a
15cee05430
hex845913f0

2220430320 has 100 divisors (see below), whose sum is σ = 7711905960. Its totient is φ = 592113024.

The previous prime is 2220430319. The next prime is 2220430321. The reversal of 2220430320 is 230340222.

It is an interprime number because it is at equal distance from previous prime (2220430319) and next prime (2220430321).

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

It is a junction number, because it is equal to n+sod(n) for n = 2220430293 and 2220430302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220430321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 164850 + ... + 177809.

Almost surely, 22220430320 is an apocalyptic number.

2220430320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220430320 is an abundant number, since it is smaller than the sum of its proper divisors (5491475640).

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

2220430320 is a wasteful number, since it uses less digits than its factorization.

2220430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342684 (or 342669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2220430320 is about 47121.4422529701. The cubic root of 2220430320 is about 1304.6050330688.

Adding to 2220430320 its reverse (230340222), we get a palindrome (2450770542).

The spelling of 2220430320 in words is "two billion, two hundred twenty million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 342659 685318 1027977 1370636 1713295 2055954 2741272 3083931 3426590 4111908 5139885 5482544 6167862 6853180 8223816 9251793 10279770 12335724 13706360 15419655 16447632 18503586 20559540 24671448 27412720 27755379 30839310 37007172 41119080 46258965 49342896 55510758 61678620 74014344 82238160 92517930 111021516 123357240 138776895 148028688 185035860 222043032 246714480 277553790 370071720 444086064 555107580 740143440 1110215160 2220430320