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2001210220 = 225234619437
BaseRepresentation
bin111011101001000…
…0000101101101100
312011110122000100001
41313102000231230
513044302211340
6530324514044
7100410002062
oct16722005554
95143560301
102001210220
119376a3949
1247a24b924
1325b7ac179
1414dad2032
15baa5129a
hex77480b6c

2001210220 has 48 divisors (see below), whose sum is σ = 4395238848. Its totient is φ = 763938560.

The previous prime is 2001210187. The next prime is 2001210223. The reversal of 2001210220 is 220121002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2001210197 and 2001210206.

It is not an unprimeable number, because it can be changed into a prime (2001210223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207342 + ... + 216778.

It is an arithmetic number, because the mean of its divisors is an integer number (91567476).

Almost surely, 22001210220 is an apocalyptic number.

2001210220 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 2001210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197619424).

2001210220 is an abundant number, since it is smaller than the sum of its proper divisors (2394028628).

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

2001210220 is a wasteful number, since it uses less digits than its factorization.

2001210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2001210220 is about 44734.8881746674. Note that the first 3 decimals coincide. The cubic root of 2001210220 is about 1260.1751289287.

Adding to 2001210220 its reverse (220121002), we get a palindrome (2221331222).

The spelling of 2001210220 in words is "two billion, one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 461 922 1844 2305 4610 9220 9437 10603 18874 21206 37748 42412 47185 53015 94370 106030 188740 212060 217051 434102 868204 1085255 2170510 4341020 4350457 8700914 17401828 21752285 43504570 87009140 100060511 200121022 400242044 500302555 1000605110 2001210220