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2220202020 = 2235313732261
BaseRepresentation
bin1000010001010101…
…1001100000100100
312201201200221121110
42010111121200210
514021332431040
61004150345020
7106006256121
oct20425314044
95651627543
102220202020
11a3a278703
1251b65b170
13294c85a0a
14170c19748
15cedac980
hex84559824

2220202020 has 96 divisors (see below), whose sum is σ = 6590739456. Its totient is φ = 557452800.

The previous prime is 2220202007. The next prime is 2220202063. The reversal of 2220202020 is 202020222.

It is a super-2 number, since 2×22202020202 = 9858594019224160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

2220202020 is a modest number, since divided by 202020 gives 2220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2220201987 and 2220202005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52690 + ... + 84950.

It is an arithmetic number, because the mean of its divisors is an integer number (68653536).

Almost surely, 22220202020 is an apocalyptic number.

2220202020 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 2220202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295369728).

2220202020 is an abundant number, since it is smaller than the sum of its proper divisors (4370537436).

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

2220202020 is a wasteful number, since it uses less digits than its factorization.

2220202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32341 (or 32339 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2220202020 is about 47119.0197266454. The cubic root of 2220202020 is about 1304.5603192830.

Adding to 2220202020 its reverse (202020222), we get a palindrome (2422222242).

It can be divided in two parts, 2 and 220202020, that added together give a palindrome (220202022).

The spelling of 2220202020 in words is "two billion, two hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1860 2220 2294 3441 4588 5735 6882 11470 13764 17205 22940 32261 34410 64522 68820 96783 129044 161305 193566 322610 387132 483915 645220 967830 1000091 1193657 1935660 2000182 2387314 3000273 3580971 4000364 4774628 5000455 5968285 6000546 7161942 10000910 11936570 12001092 14323884 15001365 17904855 20001820 23873140 30002730 35809710 37003367 60005460 71619420 74006734 111010101 148013468 185016835 222020202 370033670 444040404 555050505 740067340 1110101010 2220202020