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221130210 = 23577114831
BaseRepresentation
bin11010010111000…
…10110111100010
3120102002120121210
431023202313202
5423102131320
633535330550
75323401330
oct1513426742
9512076553
10221130210
11103905444
1262080a56
1336a74ca2
1421522b50
15146300e0
hexd2e2de2

221130210 has 64 divisors (see below), whose sum is σ = 615112704. Its totient is φ = 49828800.

The previous prime is 221130199. The next prime is 221130229. The reversal of 221130210 is 12031122.

221130210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7495 + ... + 22325.

It is an arithmetic number, because the mean of its divisors is an integer number (9611136).

Almost surely, 2221130210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221130210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307556352).

221130210 is an abundant number, since it is smaller than the sum of its proper divisors (393982494).

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

221130210 is a wasteful number, since it uses less digits than its factorization.

221130210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14919.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221130210 is about 14870.4475386587. The cubic root of 221130210 is about 604.7130757032.

Adding to 221130210 its reverse (12031122), we get a palindrome (233161332).

The spelling of 221130210 in words is "two hundred twenty-one million, one hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 14831 14910 29662 44493 74155 88986 103817 148310 207634 222465 311451 444930 519085 622902 1038170 1053001 1557255 2106002 3114510 3159003 5265005 6318006 7371007 10530010 14742014 15795015 22113021 31590030 36855035 44226042 73710070 110565105 221130210