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2252227116 = 223172961792
BaseRepresentation
bin1000011000111110…
…0100001000101100
312210221221222210010
42012033210020230
514103032231431
61011253013220
7106545420546
oct20617441054
95727858703
102252227116
11a56361627
1252a324210
1329b7b9689
14175194696
15d2ad6846
hex863e422c

2252227116 has 144 divisors (see below), whose sum is σ = 5925558240. Its totient is φ = 662538240.

The previous prime is 2252227093. The next prime is 2252227121. The reversal of 2252227116 is 6117222522.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28509165 + ... + 28509243.

It is an arithmetic number, because the mean of its divisors is an integer number (41149710).

Almost surely, 22252227116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252227116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962779120).

2252227116 is an abundant number, since it is smaller than the sum of its proper divisors (3673331124).

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

2252227116 is a wasteful number, since it uses less digits than its factorization.

2252227116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 191 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 2252227116 is about 47457.6349600357. The cubic root of 2252227116 is about 1310.8029023172.

Adding to 2252227116 its reverse (6117222522), we get a palindrome (8369449638).

The spelling of 2252227116 in words is "two billion, two hundred fifty-two million, two hundred twenty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 61 68 79 87 102 116 122 158 174 183 204 237 244 316 348 366 474 493 732 948 986 1037 1343 1479 1769 1972 2074 2291 2686 2958 3111 3538 4029 4148 4582 4819 5307 5372 5916 6222 6241 6873 7076 8058 9164 9638 10614 12444 12482 13746 14457 16116 18723 19276 21228 24964 27492 28914 30073 37446 38947 57828 60146 74892 77894 81923 90219 106097 116841 120292 139751 155788 163846 180438 180989 212194 233682 245769 279502 318291 327692 360876 361978 380701 419253 424388 467364 491538 542967 559004 636582 723956 761402 838506 983076 1085934 1142103 1273164 1522804 1677012 2171868 2284206 2375767 3076813 4568412 4751534 6153626 6471917 7127301 9230439 9503068 11040329 12307252 12943834 14254602 18460878 19415751 22080658 25887668 28509204 33120987 36921756 38831502 44161316 66241974 77663004 132483948 187685593 375371186 563056779 750742372 1126113558 2252227116