Search a number
-
+
2220313320 = 2332510359879
BaseRepresentation
bin1000010001010111…
…0100101011101000
312201201220121021200
42010111310223220
514021400011240
61004153004200
7106010231451
oct20425645350
95651817250
102220313320
11a3a344295
1251b6b3660
13294cc4584
14170c48128
15cedd0930
hex84574ae8

2220313320 has 96 divisors (see below), whose sum is σ = 7286198400. Its totient is φ = 586325376.

The previous prime is 2220313297. The next prime is 2220313363. The reversal of 2220313320 is 233130222.

It is a happy number.

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 = 2220313293 and 2220313302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7141 + ... + 67019.

It is an arithmetic number, because the mean of its divisors is an integer number (75897900).

Almost surely, 22220313320 is an apocalyptic number.

2220313320 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 2220313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643099200).

2220313320 is an abundant number, since it is smaller than the sum of its proper divisors (5065885080).

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

2220313320 is a wasteful number, since it uses less digits than its factorization.

2220313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59999 (or 59992 counting only the distinct ones).

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

The square root of 2220313320 is about 47120.2007635791. The cubic root of 2220313320 is about 1304.5821183709.

Adding to 2220313320 its reverse (233130222), we get a palindrome (2453443542).

The spelling of 2220313320 in words is "two billion, two hundred twenty million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 37080 59879 119758 179637 239516 299395 359274 479032 538911 598790 718548 898185 1077822 1197580 1437096 1796370 2155644 2395160 2694555 3592740 4311288 5389110 6167537 7185480 10778220 12335074 18502611 21556440 24670148 30837685 37005222 49340296 55507833 61675370 74010444 92513055 111015666 123350740 148020888 185026110 222031332 246701480 277539165 370052220 444062664 555078330 740104440 1110156660 2220313320