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220830521 = 19232127173
BaseRepresentation
bin11010010100110…
…01101100111001
3120101112100112012
431022121230321
5423013034041
633525055305
75321012522
oct1512315471
9511470465
10220830521
1110372026a
1261b57535
133699b762
1421485849
15145c13eb
hexd299b39

220830521 has 24 divisors (see below), whose sum is σ = 246328320. Its totient is φ = 197388576.

The previous prime is 220830509. The next prime is 220830529. The reversal of 220830521 is 125038022.

It is not a de Polignac number, because 220830521 - 26 = 220830457 is a prime.

It is a super-3 number, since 3×2208305213 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220830529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276391 + ... + 1276563.

It is an arithmetic number, because the mean of its divisors is an integer number (10263680).

Almost surely, 2220830521 is an apocalyptic number.

It is an amenable number.

220830521 is a deficient number, since it is larger than the sum of its proper divisors (25497799).

220830521 is a wasteful number, since it uses less digits than its factorization.

220830521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 220830521 is about 14860.3674584446. The cubic root of 220830521 is about 604.4397709867.

Adding to 220830521 its reverse (125038022), we get a palindrome (345868543).

The spelling of 220830521 in words is "two hundred twenty million, eight hundred thirty thousand, five hundred twenty-one".

Divisors: 1 19 23 127 173 437 529 2413 2921 3287 3979 10051 21971 55499 67183 75601 91517 417449 505333 1276477 1738823 9601327 11622659 220830521