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22222120220 = 225231034631013
BaseRepresentation
bin10100101100100010…
…101010010100011100
32010100200211200010122
4110230202222110130
5331002330321340
614113025054112
71414453622336
oct245442522434
963320750118
1022222120220
119473897913
124382187338
132131b82781
14110b480456
158a0da6db5
hex52c8aa51c

22222120220 has 96 divisors (see below), whose sum is σ = 49323036672. Its totient is φ = 8393349888.

The previous prime is 22222120201. The next prime is 22222120223. The reversal of 22222120220 is 2202122222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222120223) 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, 21936434 + ... + 21937446.

It is an arithmetic number, because the mean of its divisors is an integer number (513781632).

Almost surely, 222222120220 is an apocalyptic number.

22222120220 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 22222120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24661518336).

22222120220 is an abundant number, since it is smaller than the sum of its proper divisors (27100916452).

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

22222120220 is a wasteful number, since it uses less digits than its factorization.

22222120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22222120220 its reverse (2202122222), we get a palindrome (24424242442).

The spelling of 22222120220 in words is "twenty-two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 412 460 463 515 926 1013 1030 1852 2026 2060 2315 2369 4052 4630 4738 5065 9260 9476 10130 10649 11845 20260 21298 23299 23690 42596 46598 47380 47689 53245 93196 95378 104339 106490 116495 190756 208678 212980 232990 238445 417356 465980 469019 476890 521695 938038 953780 1043390 1096847 1876076 2086780 2193694 2345095 2399797 4387388 4690190 4799594 5484235 9380380 9599188 10787437 10968470 11998985 21574874 21936940 23997970 43149748 47995940 48308957 53937185 96617914 107874370 193235828 215748740 241544785 483089570 966179140 1111106011 2222212022 4444424044 5555530055 11111060110 22222120220