Search a number
-
+
22100122220 = 22511298938921
BaseRepresentation
bin10100100101010001…
…010001101001101100
32010001012021112100012
4110211101101221230
5330230112402340
614052550152352
71411442640131
oct244521215154
963035245305
1022100122220
119410a40a20
1243493526b8
1321128092c7
1410d91a4588
15895309565
hex525451a6c

22100122220 has 96 divisors (see below), whose sum is σ = 52965057600. Its totient is φ = 7671910400.

The previous prime is 22100122207. The next prime is 22100122223. The reversal of 22100122220 is 2222100122.

It is a junction number, because it is equal to n+sod(n) for n = 22100122195 and 22100122204.

It is not an unprimeable number, because it can be changed into a prime (22100122223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548360 + ... + 587280.

It is an arithmetic number, because the mean of its divisors is an integer number (551719350).

Almost surely, 222100122220 is an apocalyptic number.

22100122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26482528800).

22100122220 is an abundant number, since it is smaller than the sum of its proper divisors (30864935380).

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

22100122220 is a wasteful number, since it uses less digits than its factorization.

22100122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39059 (or 39057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22100122220 its reverse (2222100122), we get a palindrome (24322222342).

The spelling of 22100122220 in words is "twenty-two billion, one hundred million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 89 110 116 145 178 220 290 319 356 445 580 638 890 979 1276 1595 1780 1958 2581 3190 3916 4895 5162 6380 9790 10324 12905 19580 25810 28391 38921 51620 56782 77842 113564 141955 155684 194605 283910 389210 428131 567820 778420 856262 1128709 1712524 2140655 2257418 3463969 4281310 4514836 5643545 6927938 8562620 11287090 12415799 13855876 17319845 22574180 24831598 34639690 38103659 49663196 62078995 69279380 76207318 100455101 124157990 152414636 190518295 200910202 248315980 381036590 401820404 502275505 762073180 1004551010 1105006111 2009102020 2210012222 4420024444 5525030555 11050061110 22100122220