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2030022020 = 22513173712413
BaseRepresentation
bin111100011111111…
…1010110110000100
312020110211210200202
41320333322312010
513124141201040
6533234230032
7101206621355
oct17077726604
95213753622
102030022020
11951992654
12487a25318
13264759380
14153871d2c
15bd343015
hex78ffad84

2030022020 has 96 divisors (see below), whose sum is σ = 4992811488. Its totient is φ = 686333952.

The previous prime is 2030021993. The next prime is 2030022031. The reversal of 2030022020 is 202200302.

It can be written as a sum of positive squares in 16 ways, for example, as 288796036 + 1741225984 = 16994^2 + 41728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2030021992 and 2030022010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157334 + ... + 169746.

It is an arithmetic number, because the mean of its divisors is an integer number (52008453).

Almost surely, 22030022020 is an apocalyptic number.

2030022020 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 2030022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496405744).

2030022020 is an abundant number, since it is smaller than the sum of its proper divisors (2962789468).

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

2030022020 is a wasteful number, since it uses less digits than its factorization.

2030022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12489 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2030022020 is about 45055.7656687798. The cubic root of 2030022020 is about 1266.1939952303.

Adding to 2030022020 its reverse (202200302), we get a palindrome (2232222322).

The spelling of 2030022020 in words is "two billion, thirty million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 37 52 65 68 74 85 130 148 170 185 221 260 340 370 442 481 629 740 884 962 1105 1258 1924 2210 2405 2516 3145 4420 4810 6290 8177 9620 12413 12580 16354 24826 32708 40885 49652 62065 81770 124130 161369 163540 211021 248260 322738 422042 459281 645476 806845 844084 918562 1055105 1613690 1837124 2110210 2296405 2743273 3227380 4220420 4592810 5486546 5970653 7807777 9185620 10973092 11941306 13716365 15615554 23882612 27432730 29853265 31231108 39038885 54865460 59706530 78077770 101501101 119413060 156155540 203002202 406004404 507505505 1015011010 2030022020