Search a number
-
+
2220303020 = 22513171034877
BaseRepresentation
bin1000010001010111…
…0010001010101100
312201201220002011012
42010111302022230
514021344144040
61004152444352
7106010156435
oct20425621254
95651802135
102220303020
11a3a337581
1251b6a96b8
13294cbc990
14170c4448c
15cedcc865
hex845722ac

2220303020 has 96 divisors (see below), whose sum is σ = 5369390208. Its totient is φ = 763932672.

The previous prime is 2220303013. The next prime is 2220303047. The reversal of 2220303020 is 203030222.

It is a super-2 number, since 2×22203030202 = 9859491001242240800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220302986 and 2220303004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 452822 + ... + 457698.

It is an arithmetic number, because the mean of its divisors is an integer number (55931148).

Almost surely, 22220303020 is an apocalyptic number.

2220303020 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 2220303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684695104).

2220303020 is an abundant number, since it is smaller than the sum of its proper divisors (3149087188).

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

2220303020 is a wasteful number, since it uses less digits than its factorization.

2220303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2220303020 is about 47120.0914685021. The cubic root of 2220303020 is about 1304.5801010555.

Adding to 2220303020 its reverse (203030222), we get a palindrome (2423333242).

It can be divided in two parts, 2 and 220303020, that added together give a palindrome (220303022).

The spelling of 2220303020 in words is "two billion, two hundred twenty million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 103 130 170 206 221 260 340 412 442 515 884 1030 1105 1339 1751 2060 2210 2678 3502 4420 4877 5356 6695 7004 8755 9754 13390 17510 19508 22763 24385 26780 35020 45526 48770 63401 82909 91052 97540 113815 126802 165818 227630 253604 317005 331636 414545 455260 502331 634010 829090 1004662 1077817 1268020 1658180 2009324 2155634 2511655 4311268 5023310 5389085 6530303 8539627 10046620 10778170 13060606 17079254 21556340 26121212 32651515 34158508 42698135 65303030 85396270 111015151 130606060 170792540 222030302 444060604 555075755 1110151510 2220303020