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201222022112200 = 235211360431473379
BaseRepresentation
bin101101110000001010100111…
…001001100010001111001000
3222101110122012200211101021001
4231300022213021202033020
5202333310200130042300
61551544042032224344
760245545202013355
oct5560124711421710
9871418180741231
10201222022112200
115912a8646a9271
121a69a21409b0b4
13883820316b4bb
1437992aac0762c
15183e3a72c516a
hexb702a72623c8

201222022112200 has 96 divisors (see below), whose sum is σ = 472059813247200. Its totient is φ = 79763262888960.

The previous prime is 201222022112197. The next prime is 201222022112249. The reversal of 201222022112200 is 2211220222102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135835111 + ... + 137308489.

It is an arithmetic number, because the mean of its divisors is an integer number (4917289721325).

Almost surely, 2201222022112200 is an apocalyptic number.

201222022112200 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 201222022112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236029906623600).

201222022112200 is an abundant number, since it is smaller than the sum of its proper divisors (270837791135000).

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

201222022112200 is a wasteful number, since it uses less digits than its factorization.

201222022112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479551 (or 1479542 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 201222022112200 its reverse (2211220222102), we get a palindrome (203433242334302).

The spelling of 201222022112200 in words is "two hundred one trillion, two hundred twenty-two billion, twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 6043 11300 12086 22600 24172 30215 48344 60430 120860 151075 241720 302150 604300 682859 1208600 1365718 1473379 2731436 2946758 3414295 5462872 5893516 6828590 7366895 11787032 13657180 14733790 17071475 27314360 29467580 34142950 36834475 58935160 68285900 73668950 136571800 147337900 166491827 294675800 332983654 665967308 832459135 1331934616 1664918270 3329836540 4162295675 6659673080 8324591350 8903629297 16649182700 17807258594 33298365400 35614517188 44518146485 71229034376 89036292970 178072585940 222590732425 356145171880 445181464850 890362929700 1006110110561 1780725859400 2012220221122 4024440442244 5030550552805 8048880884488 10061101105610 20122202211220 25152752764025 40244404422440 50305505528050 100611011056100 201222022112200