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223213021 = 10713031601
BaseRepresentation
bin11010100110111…
…11010111011101
3120120000101200221
431103133113131
5424120304041
634052121341
75350164553
oct1523372735
9516011627
10223213021
11104aa8279
1262906251
1337324015
1421905bd3
15148e22d1
hexd4df5dd

223213021 has 8 divisors (see below), whose sum is σ = 225612864. Its totient is φ = 220819200.

The previous prime is 223212889. The next prime is 223213037. The reversal of 223213021 is 120312322.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223213021 - 213 = 223204829 is a prime.

It is a super-3 number, since 3×2232130213 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223212986 and 223213004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223213721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138621 + ... + 140221.

It is an arithmetic number, because the mean of its divisors is an integer number (28201608).

Almost surely, 2223213021 is an apocalyptic number.

It is an amenable number.

223213021 is a deficient number, since it is larger than the sum of its proper divisors (2399843).

223213021 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (223213020) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3011).

223213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223213021 is about 14940.3152911845. The cubic root of 223213021 is about 606.6057301365.

Adding to 223213021 its reverse (120312322), we get a palindrome (343525343).

The spelling of 223213021 in words is "two hundred twenty-three million, two hundred thirteen thousand, twenty-one".

Divisors: 1 107 1303 1601 139421 171307 2086103 223213021