Search a number
-
+
2209961436 = 223436121151
BaseRepresentation
bin1000001110111001…
…0101010111011100
312201000102200011120
42003232111113130
514011222231221
61003143050540
7105523235154
oct20356252734
95630380146
102209961436
11a34513811
12518140a50
13292b0b7b7
1416d711764
15ce0385c6
hex83b955dc

2209961436 has 72 divisors (see below), whose sum is σ = 5369075712. Its totient is φ = 707112000.

The previous prime is 2209961431. The next prime is 2209961437. The reversal of 2209961436 is 6341699022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209961431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919461 + ... + 1920611.

It is an arithmetic number, because the mean of its divisors is an integer number (74570496).

Almost surely, 22209961436 is an apocalyptic number.

It is an amenable number.

2209961436 is an abundant number, since it is smaller than the sum of its proper divisors (3159114276).

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

2209961436 is a wasteful number, since it uses less digits than its factorization.

2209961436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2209961436 is about 47010.2269298926. The cubic root of 2209961436 is about 1302.5514852248.

The spelling of 2209961436 in words is "two billion, two hundred nine million, nine hundred sixty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 43 61 86 122 129 172 183 244 258 366 516 732 1151 2302 2623 3453 3721 4604 5246 6906 7442 7869 10492 11163 13812 14884 15738 22326 31476 44652 49493 70211 98986 140422 148479 160003 197972 210633 280844 296958 320006 421266 480009 593916 640012 842532 960018 1920036 3019073 4282871 6038146 8565742 9057219 12076292 12848613 17131484 18114438 25697226 36228876 51394452 184163453 368326906 552490359 736653812 1104980718 2209961436