Search a number
-
+
22121022220 = 22511598320533
BaseRepresentation
bin10100100110100001…
…000000001100001100
32010002122121100202021
4110212201000030030
5330300440202340
614055014135524
71412115405103
oct244641001414
963078540667
1022121022220
119421816450
1243543515a4
132116c4627b
1410dbc8503a
15897086e4a
hex52684030c

22121022220 has 96 divisors (see below), whose sum is σ = 52159645440. Its totient is φ = 7812015360.

The previous prime is 22121022167. The next prime is 22121022221. The reversal of 22121022220 is 2222012122.

It is a junction number, because it is equal to n+sod(n) for n = 22121022194 and 22121022203.

It is not an unprimeable number, because it can be changed into a prime (22121022221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067074 + ... + 1087606.

It is an arithmetic number, because the mean of its divisors is an integer number (543329640).

Almost surely, 222121022220 is an apocalyptic number.

22121022220 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 22121022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26079822720).

22121022220 is an abundant number, since it is smaller than the sum of its proper divisors (30038623220).

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

22121022220 is a wasteful number, since it uses less digits than its factorization.

22121022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20695 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22121022220 its reverse (2222012122), we get a palindrome (24343034342).

The spelling of 22121022220 in words is "twenty-two billion, one hundred twenty-one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 83 110 118 166 220 236 295 332 415 590 649 830 913 1180 1298 1660 1826 2596 3245 3652 4565 4897 6490 9130 9794 12980 18260 19588 20533 24485 41066 48970 53867 82132 97940 102665 107734 205330 215468 225863 269335 410660 451726 538670 903452 1077340 1129315 1211447 1704239 2258630 2422894 3408478 4517260 4845788 6057235 6816956 8521195 12114470 13325917 17042390 18746629 24228940 26651834 34084780 37493258 53303668 66629585 74986516 93733145 100550101 133259170 187466290 201100202 266518340 374932580 402200404 502750505 1005501010 1106051111 2011002020 2212102222 4424204444 5530255555 11060511110 22121022220