Search a number
-
+
2101230222 = 2371337472213
BaseRepresentation
bin111110100111110…
…0011101010001110
312102102211112222120
41331033203222032
513300403331342
6544300353410
7103033106430
oct17517435216
95372745876
102101230222
119890a9403
124a7845866
1327642bac0
1415d0ca650
15c470baec
hex7d3e3a8e

2101230222 has 128 divisors (see below), whose sum is σ = 5427523584. Its totient is φ = 527482368.

The previous prime is 2101230203. The next prime is 2101230223. The reversal of 2101230222 is 2220321012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101230223) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 948388 + ... + 950600.

It is an arithmetic number, because the mean of its divisors is an integer number (42402528).

Almost surely, 22101230222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101230222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713761792).

2101230222 is an abundant number, since it is smaller than the sum of its proper divisors (3326293362).

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

2101230222 is a wasteful number, since it uses less digits than its factorization.

2101230222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2101230222 is about 45839.1778067626. The cubic root of 2101230222 is about 1280.8291791349.

Adding to 2101230222 its reverse (2220321012), we get a palindrome (4321551234).

The spelling of 2101230222 in words is "two billion, one hundred one million, two hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 47 74 78 91 94 111 141 182 222 259 273 282 329 481 518 546 611 658 777 962 987 1222 1443 1554 1739 1833 1974 2213 2886 3367 3478 3666 4277 4426 5217 6639 6734 8554 10101 10434 12173 12831 13278 15491 20202 22607 24346 25662 28769 30982 36519 45214 46473 57538 67821 73038 81881 86307 92946 104011 135642 158249 163762 172614 201383 208022 245643 312033 316498 402766 474747 491286 573167 604149 624066 728077 949494 1064453 1146334 1208298 1352143 1456154 1719501 2128906 2184231 2704286 3193359 3439002 3848407 4056429 4368462 6386718 7451171 7696814 8112858 9465001 11545221 14902342 18930002 22353513 23090442 26938849 28395003 44707026 50029291 53877698 56790006 80816547 100058582 150087873 161633094 300175746 350205037 700410074 1050615111 2101230222