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2120220234 = 2321114971867
BaseRepresentation
bin111111001011111…
…1111111001001010
312110202120100101100
41332113333321022
513320234021414
6550215402230
7103353401046
oct17627777112
95422510340
102120220234
11998899930
124b2083376
1327a34a5b2
14161831026
15c620d609
hex7e5ffe4a

2120220234 has 48 divisors (see below), whose sum is σ = 5045133600. Its totient is φ = 638170080.

The previous prime is 2120220233. The next prime is 2120220251. The reversal of 2120220234 is 4320220212.

2120220234 is a `hidden beast` number, since 212 + 0 + 220 + 234 = 666.

It is a super-3 number, since 3×21202202343 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2120220233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6432 + ... + 65435.

It is an arithmetic number, because the mean of its divisors is an integer number (105106950).

Almost surely, 22120220234 is an apocalyptic number.

2120220234 is an abundant number, since it is smaller than the sum of its proper divisors (2924913366).

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

2120220234 is a wasteful number, since it uses less digits than its factorization.

2120220234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72035 (or 72032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2120220234 is about 46045.8492591895. The cubic root of 2120220234 is about 1284.6761403810.

Adding to 2120220234 its reverse (4320220212), we get a palindrome (6440440446).

The spelling of 2120220234 in words is "two billion, one hundred twenty million, two hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 298 447 894 1341 1639 2682 3278 4917 9834 14751 29502 71867 143734 215601 431202 646803 790537 1293606 1581074 2371611 4743222 7114833 10708183 14229666 21416366 32124549 64249098 96373647 117790013 192747294 235580026 353370039 706740078 1060110117 2120220234