Search a number
-
+
2142112230 = 234512972039
BaseRepresentation
bin111111110101110…
…0000100111100110
312112021202120120000
41333223200213212
513341340042410
6552320522130
7104040440106
oct17753404746
95467676500
102142112230
119aa191695
124b9480346
13281a43c3b
141646cd206
15c80d4dc0
hex7fae09e6

2142112230 has 80 divisors (see below), whose sum is σ = 5767169760. Its totient is φ = 570509568.

The previous prime is 2142112213. The next prime is 2142112241. The reversal of 2142112230 is 322112412.

It is a happy number.

2142112230 is a `hidden beast` number, since 2 + 1 + 421 + 12 + 230 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1049551 + ... + 1051589.

It is an arithmetic number, because the mean of its divisors is an integer number (72089622).

Almost surely, 22142112230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142112230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883584880).

2142112230 is an abundant number, since it is smaller than the sum of its proper divisors (3625057530).

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

2142112230 is a wasteful number, since it uses less digits than its factorization.

2142112230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142112230 is about 46282.9583108081. The cubic root of 2142112230 is about 1289.0825818888.

Adding to 2142112230 its reverse (322112412), we get a palindrome (2464224642).

The spelling of 2142112230 in words is "two billion, one hundred forty-two million, one hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1297 2039 2594 3891 4078 6117 6485 7782 10195 11673 12234 12970 18351 19455 20390 23346 30585 35019 36702 38910 55053 58365 61170 70038 91755 105057 110106 116730 165159 175095 183510 210114 275265 330318 350190 525285 550530 825795 1050570 1651590 2644583 5289166 7933749 13222915 15867498 23801247 26445830 39668745 47602494 71403741 79337490 119006235 142807482 214211223 238012470 357018705 428422446 714037410 1071056115 2142112230