Search a number
-
+
20212133220 = 22325173649073
BaseRepresentation
bin10010110100101111…
…001010110101100100
31221011121200202022200
4102310233022311210
5312343301230340
613141344054500
71313606204046
oct226457126544
957147622280
1020212133220
118632249934
123b01004430
131ba161c756
14d9a545a96
157d46c0330
hex4b4bcad64

20212133220 has 72 divisors (see below), whose sum is σ = 61664626296. Its totient is φ = 5358738432.

The previous prime is 20212133167. The next prime is 20212133233. The reversal of 20212133220 is 2233121202.

It can be written as a sum of positive squares in 4 ways, for example, as 4105477476 + 16106655744 = 64074^2 + 126912^2 .

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 = 20212133193 and 20212133202.

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, 293397 + ... + 355676.

It is an arithmetic number, because the mean of its divisors is an integer number (856453143).

Almost surely, 220212133220 is an apocalyptic number.

20212133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212133220 is an abundant number, since it is smaller than the sum of its proper divisors (41452493076).

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

20212133220 is a wasteful number, since it uses less digits than its factorization.

20212133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649261 (or 649256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20212133220 its reverse (2233121202), we get a palindrome (22445254422).

The spelling of 20212133220 in words is "twenty billion, two hundred twelve million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 15570 31140 649073 1298146 1947219 2596292 3245365 3894438 5841657 6490730 7788876 9736095 11683314 12981460 19472190 23366628 29208285 38944380 58416570 112289629 116833140 224579258 336868887 449158516 561448145 673737774 1010606661 1122896290 1347475548 1684344435 2021213322 2245792580 3368688870 4042426644 5053033305 6737377740 10106066610 20212133220