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220220312 = 2313173431
BaseRepresentation
bin11010010000001…
…00101110011000
3120100101100110212
431020010232120
5422334022222
633504030252
75312561504
oct1510045630
9510340425
10220220312
11103343864
1261902388
1336816aa0
1421367304
15145006e2
hexd204b98

220220312 has 64 divisors (see below), whose sum is σ = 473558400. Its totient is φ = 95439360.

The previous prime is 220220303. The next prime is 220220323. The reversal of 220220312 is 213022022.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 510737 + ... + 511167.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350).

Almost surely, 2220220312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236779200).

220220312 is an abundant number, since it is smaller than the sum of its proper divisors (253338088).

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

220220312 is a wasteful number, since it uses less digits than its factorization.

220220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220220312 is about 14839.8218318146. The cubic root of 220220312 is about 603.8825188522.

Adding to 220220312 its reverse (213022022), we get a palindrome (433242334).

The spelling of 220220312 in words is "two hundred twenty million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 431 442 578 862 884 1156 1724 1768 2312 3448 3757 4913 5603 7327 7514 9826 11206 14654 15028 19652 22412 29308 30056 39304 44824 58616 63869 95251 124559 127738 190502 249118 255476 381004 498236 510952 762008 996472 1619267 2117503 3238534 4235006 6477068 8470012 12954136 16940024 27527539 55055078 110110156 220220312