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2140221330 = 2325131829249
BaseRepresentation
bin111111110010001…
…0010111110010010
312112011012111201200
41333210102332102
513340344040310
6552212212030
7104015403222
oct17744227622
95464174650
102140221330
119a910aa65
124b890a016
13281531370
1416435a082
15c7d5e9c0
hex7f912f92

2140221330 has 48 divisors (see below), whose sum is σ = 5992623000. Its totient is φ = 526823424.

The previous prime is 2140221269. The next prime is 2140221353. The reversal of 2140221330 is 331220412.

2140221330 is a `hidden beast` number, since 21 + 402 + 213 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1838608641 + 301612689 = 42879^2 + 17367^2 .

It is a super-3 number, since 3×21402213303 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913455 + ... + 915794.

Almost surely, 22140221330 is an apocalyptic number.

2140221330 is an abundant number, since it is smaller than the sum of its proper divisors (3852401670).

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

2140221330 is a wasteful number, since it uses less digits than its factorization.

2140221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829275 (or 1829272 counting only the distinct ones).

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

The square root of 2140221330 is about 46262.5261956154. The cubic root of 2140221330 is about 1288.7031676211.

Adding to 2140221330 its reverse (331220412), we get a palindrome (2471441742).

The spelling of 2140221330 in words is "two billion, one hundred forty million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1829249 3658498 5487747 9146245 10975494 16463241 18292490 23780237 27438735 32926482 47560474 54877470 71340711 82316205 118901185 142681422 164632410 214022133 237802370 356703555 428044266 713407110 1070110665 2140221330