Search a number
-
+
22553351106 = 231113101317821
BaseRepresentation
bin10101000000010010…
…001101001111000010
32011012210002221111020
4111000102031033002
5332142124213411
614205540330310
71425615215136
oct250022151702
964183087436
1022553351106
119623862550
1244550a3996
132185696890
14113d4633c6
158beed4606
hex54048d3c2

22553351106 has 128 divisors (see below), whose sum is σ = 53751382272. Its totient is φ = 6218880000.

The previous prime is 22553351099. The next prime is 22553351111. The reversal of 22553351106 is 60115335522.

It is a happy number.

It is a super-2 number, since 2×225533511062 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 27470176 + ... + 27470996.

It is an arithmetic number, because the mean of its divisors is an integer number (419932674).

Almost surely, 222553351106 is an apocalyptic number.

22553351106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22553351106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26875691136).

22553351106 is an abundant number, since it is smaller than the sum of its proper divisors (31198031166).

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

22553351106 is a wasteful number, since it uses less digits than its factorization.

22553351106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 22553351106 its reverse (60115335522), we get a palindrome (82668686628).

The spelling of 22553351106 in words is "twenty-two billion, five hundred fifty-three million, three hundred fifty-one thousand, one hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 317 429 606 634 821 858 951 1111 1313 1642 1902 2222 2463 2626 3333 3487 3939 4121 4926 6666 6974 7878 8242 9031 10461 10673 12363 14443 18062 20922 21346 24726 27093 28886 32017 32019 43329 45331 54186 64034 64038 82921 86658 90662 96051 117403 135993 165842 192102 234806 248763 260257 271986 352187 352209 416221 497526 520514 704374 704418 780771 832442 912131 1056561 1077973 1248663 1561542 1824262 2113122 2155946 2497326 2736393 2862827 3233919 3383341 4578431 5472786 5725654 6467838 6766682 8588481 9156862 10150023 11857703 13735293 17176962 20300046 23715406 26285957 27470586 35573109 37216751 52571914 71146218 74433502 78857871 111650253 157715742 223300506 289145527 341717441 578291054 683434882 867436581 1025152323 1734873162 2050304646 3758891851 7517783702 11276675553 22553351106