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2243142210 = 2354715710133
BaseRepresentation
bin1000010110110011…
…1010001001000010
312210022212102122010
42011230322021002
514043221022320
61010330153350
7106405252131
oct20554721102
95708772563
102243142210
11a51216a41
12527282856
132999584aa
14173cab918
15d1ddeae0
hex85b3a242

2243142210 has 64 divisors (see below), whose sum is σ = 5533650432. Its totient is φ = 581657856.

The previous prime is 2243142191. The next prime is 2243142217. The reversal of 2243142210 is 122413422.

It is not an unprimeable number, because it can be changed into a prime (2243142217) by changing a digit.

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, 216304 + ... + 226436.

It is an arithmetic number, because the mean of its divisors is an integer number (86463288).

Almost surely, 22243142210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243142210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766825216).

2243142210 is an abundant number, since it is smaller than the sum of its proper divisors (3290508222).

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

2243142210 is a wasteful number, since it uses less digits than its factorization.

2243142210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2243142210 is about 47361.8222833539. The cubic root of 2243142210 is about 1309.0380463932.

Adding to 2243142210 its reverse (122413422), we get a palindrome (2365555632).

It can be divided in two parts, 2243 and 142210, that added together give a triangular number (144453 = T537).

The spelling of 2243142210 in words is "two billion, two hundred forty-three million, one hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 157 235 282 314 470 471 705 785 942 1410 1570 2355 4710 7379 10133 14758 20266 22137 30399 36895 44274 50665 60798 73790 101330 110685 151995 221370 303990 476251 952502 1428753 1590881 2381255 2857506 3181762 4762510 4772643 7143765 7954405 9545286 14287530 15908810 23863215 47726430 74771407 149542814 224314221 373857035 448628442 747714070 1121571105 2243142210