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201220000 = 255410061
BaseRepresentation
bin10111111111001…
…01111110100000
3112000122000221121
423333211332200
5403003020000
631544502024
74662225142
oct1377457640
9460560847
10201220000
11a3646623
125747a914
13328c36b7
141ca1cc92
15129eab1a
hexbfe5fa0

201220000 has 60 divisors (see below), whose sum is σ = 495080586. Its totient is φ = 80480000.

The previous prime is 201219917. The next prime is 201220043. The reversal of 201220000 is 22102.

It is a happy number.

201220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 4210704 + 197009296 = 2052^2 + 14036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14970 + ... + 25030.

Almost surely, 2201220000 is an apocalyptic number.

201220000 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 201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247540293).

201220000 is an abundant number, since it is smaller than the sum of its proper divisors (293860586).

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

201220000 is an equidigital number, since it uses as much as digits as its factorization.

201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 201220000 is about 14185.2035586381. The cubic root of 201220000 is about 585.9902385123.

Adding to 201220000 its reverse (22102), we get a palindrome (201242102).

The spelling of 201220000 in words is "two hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 10061 20000 20122 40244 50305 80488 100610 160976 201220 251525 321952 402440 503050 804880 1006100 1257625 1609760 2012200 2515250 4024400 5030500 6288125 8048800 10061000 12576250 20122000 25152500 40244000 50305000 100610000 201220000