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210001220 = 2251113101727
BaseRepresentation
bin11001000010001…
…01110101000100
3112122011011111222
430201011311010
5412230014340
632501015512
75126660312
oct1441056504
9478134458
10210001220
11a85a4030
125a3b4598
13346795a0
141dc670b2
15136828b5
hexc845d44

210001220 has 96 divisors (see below), whose sum is σ = 523950336. Its totient is φ = 69696000.

The previous prime is 210001219. The next prime is 210001271. The reversal of 210001220 is 22100012.

It is a junction number, because it is equal to n+sod(n) for n = 210001198 and 210001207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288497 + ... + 289223.

It is an arithmetic number, because the mean of its divisors is an integer number (5457816).

Almost surely, 2210001220 is an apocalyptic number.

210001220 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 210001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261975168).

210001220 is an abundant number, since it is smaller than the sum of its proper divisors (313949116).

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

210001220 is a wasteful number, since it uses less digits than its factorization.

210001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

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

The square root of 210001220 is about 14491.4188401274. The cubic root of 210001220 is about 594.3933463193.

Adding to 210001220 its reverse (22100012), we get a palindrome (232101232).

The spelling of 210001220 in words is "two hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 727 1010 1111 1313 1430 1454 2020 2222 2626 2860 2908 3635 4444 5252 5555 6565 7270 7997 9451 11110 13130 14443 14540 15994 18902 22220 26260 28886 31988 37804 39985 47255 57772 72215 73427 79970 94510 103961 144430 146854 159940 189020 207922 288860 293708 367135 415844 519805 734270 807697 954551 1039610 1468540 1615394 1909102 2079220 3230788 3818204 4038485 4772755 8076970 9545510 10500061 16153940 19091020 21000122 42000244 52500305 105000610 210001220