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220335104 = 2101131631
BaseRepresentation
bin11010010001000…
…00110000000000
3120100121011221102
431020200300000
5422401210404
633510313532
75313550253
oct1510406000
9510534842
10220335104
11103412030
12619588a8
1336857102
142139709a
151452471e
hexd220c00

220335104 has 88 divisors (see below), whose sum is σ = 496782336. Its totient is φ = 96768000.

The previous prime is 220335083. The next prime is 220335109. The reversal of 220335104 is 401533022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220335109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348869 + ... + 349499.

Almost surely, 2220335104 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 220335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248391168).

220335104 is an abundant number, since it is smaller than the sum of its proper divisors (276447232).

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

220335104 is a wasteful number, since it uses less digits than its factorization.

220335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 220335104 is about 14843.6890293485. The cubic root of 220335104 is about 603.9874271903.

Adding to 220335104 its reverse (401533022), we get a palindrome (621868126).

The spelling of 220335104 in words is "two hundred twenty million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 631 682 704 992 1024 1262 1364 1408 1984 2524 2728 2816 3968 5048 5456 5632 6941 7936 10096 10912 11264 13882 15872 19561 20192 21824 27764 31744 39122 40384 43648 55528 78244 80768 87296 111056 156488 161536 174592 215171 222112 312976 323072 349184 430342 444224 625952 646144 860684 888448 1251904 1721368 1776896 2503808 3442736 3553792 5007616 6885472 7107584 10015232 13770944 20030464 27541888 55083776 110167552 220335104