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200212021222002 = 232194738333249581
BaseRepresentation
bin101101100001011101111110…
…011001111001101001110010
3222020220002012222222002112100
4231201131332121321221302
5202220233204413101002
61545452044404041230
760112561346054136
oct5541357631715162
9866802188862470
10200212021222002
1158880494510569
121a556520993216
138793bb2c6326a
1437624564893c6
151822e92a7711c
hexb6177e679a72

200212021222002 has 96 divisors (see below), whose sum is σ = 466461118206720. Its totient is φ = 61863476302080.

The previous prime is 200212021221991. The next prime is 200212021222007. The reversal of 200212021222002 is 200222120212002.

200212021222002 is a `hidden beast` number, since 20 + 0 + 212 + 0 + 212 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200212021222007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59986852 + ... + 63236432.

It is an arithmetic number, because the mean of its divisors is an integer number (4858969981320).

Almost surely, 2200212021222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212021222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233230559103360).

200212021222002 is an abundant number, since it is smaller than the sum of its proper divisors (266249096984718).

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

200212021222002 is a wasteful number, since it uses less digits than its factorization.

200212021222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253488 (or 3253485 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200212021222002 its reverse (200222120212002), we get a palindrome (400434141434004).

The spelling of 200212021222002 in words is "two hundred trillion, two hundred twelve billion, twenty-one million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 3833 5358 7666 8037 11499 16074 22998 34497 68994 72827 145654 180151 218481 360302 436962 540453 655443 1080906 1310886 1621359 3242718 3249581 3422869 6499162 6845738 9748743 10268607 19497486 20537214 29246229 30805821 58492458 61611642 61742039 123484078 152730307 185226117 305460614 370452234 458190921 555678351 916381842 1111356702 1374572763 2749145526 2901875833 5803751666 8705627499 12455643973 17411254998 24911287946 26116882497 37366931919 52233764994 74733863838 112100795757 224201591514 236657235487 473314470974 585415266731 709971706461 1170830533462 1419943412922 1756245800193 2129915119383 3512491600386 4259830238766 5268737400579 10537474801158 11122890067889 22245780135778 33368670203667 66737340407334 100106010611001 200212021222002