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22220102200 = 23522311934049
BaseRepresentation
bin10100101100011010…
…111101101000111000
32010100120001010221011
4110230122331220320
5331001321232300
614112513523304
71414430516032
oct245432755070
963316033834
1022220102200
11947273972a
124381573534
13213162708a
14110b0b6c52
158a0b08eba
hex52c6bda38

22220102200 has 96 divisors (see below), whose sum is σ = 53966412000. Its totient is φ = 8492380160.

The previous prime is 22220102147. The next prime is 22220102207. The reversal of 22220102200 is 220102222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220102207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5485776 + ... + 5489824.

It is an arithmetic number, because the mean of its divisors is an integer number (562150125).

Almost surely, 222220102200 is an apocalyptic number.

22220102200 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 22220102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983206000).

22220102200 is an abundant number, since it is smaller than the sum of its proper divisors (31746309800).

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

22220102200 is a wasteful number, since it uses less digits than its factorization.

22220102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22220102200 its reverse (220102222), we get a palindrome (22440204422).

The spelling of 22220102200 in words is "twenty-two billion, two hundred twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1193 2300 2386 4049 4600 4772 5965 8098 9544 11930 16196 20245 23860 27439 29825 32392 40490 47720 54878 59650 80980 93127 101225 109756 119300 137195 161960 186254 202450 219512 238600 274390 372508 404900 465635 548780 685975 745016 809800 931270 1097560 1371950 1862540 2328175 2743900 3725080 4656350 4830457 5487800 9312700 9660914 18625400 19321828 24152285 38643656 48304570 96609140 111100511 120761425 193218280 222201022 241522850 444402044 483045700 555502555 888804088 966091400 1111005110 2222010220 2777512775 4444020440 5555025550 11110051100 22220102200