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200010222000200 = 235215758431090151
BaseRepresentation
bin101101011110100010000010…
…001110111101100001001000
3222020011210100021010110201102
4231132202002032331201020
5202203431413313001300
61545215232202240532
760062155520013413
oct5536420216754110
9866153307113642
10200010222000200
115880294a0773a7
121a5233a27b6148
13877ab62c67301
143756791454b7a
15181cad16a00d5
hexb5e8823bd848

200010222000200 has 96 divisors (see below), whose sum is σ = 468066223719360. Its totient is φ = 79480830624000.

The previous prime is 200010222000161. The next prime is 200010222000203. The reversal of 200010222000200 is 2000222010002.

It is not an unprimeable number, because it can be changed into a prime (200010222000203) 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, 182925125 + ... + 184015275.

It is an arithmetic number, because the mean of its divisors is an integer number (4875689830410).

Almost surely, 2200010222000200 is an apocalyptic number.

200010222000200 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 200010222000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234033111859680).

200010222000200 is an abundant number, since it is smaller than the sum of its proper divisors (268056001719160).

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

200010222000200 is a wasteful number, since it uses less digits than its factorization.

200010222000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096167 (or 1096158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 200010222000200 its reverse (2000222010002), we get a palindrome (202010444010202).

The spelling of 200010222000200 in words is "two hundred trillion, ten billion, two hundred twenty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 5843 6280 7850 11686 15700 23372 29215 31400 46744 58430 116860 146075 233720 292150 584300 917351 1090151 1168600 1834702 2180302 3669404 4360604 4586755 5450755 7338808 8721208 9173510 10901510 18347020 21803020 22933775 27253775 36694040 43606040 45867550 54507550 91735100 109015100 171153707 183470200 218030200 342307414 684614828 855768535 1369229656 1711537070 3423074140 4278842675 6369752293 6846148280 8557685350 12739504586 17115370700 25479009172 31848761465 34230741400 50958018344 63697522930 127395045860 159243807325 254790091720 318487614650 636975229300 1000051110001 1273950458600 2000102220002 4000204440004 5000255550005 8000408880008 10000511100010 20001022200020 25001277750025 40002044400040 50002555500050 100005111000100 200010222000200