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200122020 = 223257712237
BaseRepresentation
bin10111110110110…
…01111010100100
3111221120020210200
423323121322210
5402212401040
631505150500
74650003060
oct1373317244
9457506720
10200122020
11a2a666aa
125702b430
13325ca9c7
141c814aa0
1512880630
hexbed9ea4

200122020 has 144 divisors (see below), whose sum is σ = 703842048. Its totient is φ = 45077760.

The previous prime is 200121991. The next prime is 200122031. The reversal of 200122020 is 20221002.

200122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200121993 and 200122011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88342 + ... + 90578.

It is an arithmetic number, because the mean of its divisors is an integer number (4887792).

Almost surely, 2200122020 is an apocalyptic number.

200122020 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 200122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351921024).

200122020 is an abundant number, since it is smaller than the sum of its proper divisors (503720028).

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

200122020 is a wasteful number, since it uses less digits than its factorization.

200122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200122020 is about 14146.4490244018. The cubic root of 200122020 is about 584.9224530126.

Adding to 200122020 its reverse (20221002), we get a palindrome (220343022).

The spelling of 200122020 in words is "two hundred million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2237 2485 2556 2982 3195 4260 4473 4474 4970 5964 6390 6711 7455 8946 8948 9940 11185 12780 13422 14910 15659 17892 20133 22365 22370 26844 29820 31318 33555 40266 44730 44740 46977 62636 67110 78295 80532 89460 93954 100665 134220 140931 156590 158827 187908 201330 234885 281862 313180 317654 402660 469770 476481 563724 635308 704655 794135 939540 952962 1111789 1409310 1429443 1588270 1905924 2223578 2382405 2818620 2858886 3176540 3335367 4447156 4764810 5558945 5717772 6670734 7147215 9529620 10006101 11117890 13341468 14294430 16676835 20012202 22235780 28588860 33353670 40024404 50030505 66707340 100061010 200122020