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200022000220 = 225730743910601
BaseRepresentation
bin1011101001001000111…
…1011000001001011100
3201010021212200102010101
42322102033120021130
511234121113001340
6231515553350444
720310505643410
oct2722217301134
9633255612111
10200022000220
11779132282a9
1232922b68424
1315b28a52b63
149976daad40
15530a36cc9a
hex2e923d825c

200022000220 has 96 divisors (see below), whose sum is σ = 482759101440. Its totient is φ = 68193446400.

The previous prime is 200022000151. The next prime is 200022000257. The reversal of 200022000220 is 22000220002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200022000197 and 200022000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18862920 + ... + 18873520.

It is an arithmetic number, because the mean of its divisors is an integer number (5028740640).

Almost surely, 2200022000220 is an apocalyptic number.

200022000220 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 200022000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241379550720).

200022000220 is an abundant number, since it is smaller than the sum of its proper divisors (282737101220).

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

200022000220 is a wasteful number, since it uses less digits than its factorization.

200022000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11363 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 200022000220 its reverse (22000220002), we get a palindrome (222022220222).

The spelling of 200022000220 in words is "two hundred billion, twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 307 439 614 878 1228 1535 1756 2149 2195 3070 3073 4298 4390 6140 6146 8596 8780 10601 10745 12292 15365 21202 21490 30730 42404 42980 53005 61460 74207 106010 134773 148414 212020 269546 296828 371035 539092 673865 742070 943411 1347730 1484140 1886822 2695460 3254507 3773644 4653839 4717055 6509014 9307678 9434110 13018028 16272535 18615356 18868220 22781549 23269195 32545070 32576873 45563098 46538390 65090140 65153746 91126196 93076780 113907745 130307492 162884365 227815490 325768730 455630980 651537460 1428728573 2857457146 5714914292 7143642865 10001100011 14287285730 20002200022 28574571460 40004400044 50005500055 100011000110 200022000220