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2032213020 = 2235197012543
BaseRepresentation
bin111100100100001…
…0001110000011100
312020121222010011220
41321020101300130
513130221304040
6533353213340
7101234345205
oct17110216034
95217863156
102032213020
119531497a2
12488701250
13265045716
14153c825ac
15bd6272d0
hex79211c1c

2032213020 has 96 divisors (see below), whose sum is σ = 6000583680. Its totient is φ = 512467200.

The previous prime is 2032213013. The next prime is 2032213111. The reversal of 2032213020 is 203122302.

It is a super-3 number, since 3×20322130203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 797869 + ... + 800411.

It is an arithmetic number, because the mean of its divisors is an integer number (62506080).

Almost surely, 22032213020 is an apocalyptic number.

2032213020 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 2032213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000291840).

2032213020 is an abundant number, since it is smaller than the sum of its proper divisors (3968370660).

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

2032213020 is a wasteful number, since it uses less digits than its factorization.

2032213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2032213020 is about 45080.0734249624. The cubic root of 2032213020 is about 1266.6493652608.

Adding to 2032213020 its reverse (203122302), we get a palindrome (2235335322).

The spelling of 2032213020 in words is "two billion, thirty-two million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 701 1140 1402 2103 2543 2804 3505 4206 5086 7010 7629 8412 10172 10515 12715 13319 14020 15258 21030 25430 26638 30516 38145 39957 42060 48317 50860 53276 66595 76290 79914 96634 133190 144951 152580 159828 193268 199785 241585 266380 289902 399570 483170 579804 724755 799140 966340 1449510 1782643 2899020 3565286 5347929 7130572 8913215 10695858 17826430 21391716 26739645 33870217 35652860 53479290 67740434 101610651 106958580 135480868 169351085 203221302 338702170 406442604 508053255 677404340 1016106510 2032213020