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320223213 = 358315877
BaseRepresentation
bin10011000101100…
…011011111101101
3211022120000200000
4103011203133231
51123434120323
651435254513
710635565242
oct2305433755
9738500600
10320223213
11154837492
128b2aa439
135145b9bb
14307595c9
151d1a5e43
hex131637ed

320223213 has 24 divisors (see below), whose sum is σ = 485485728. Its totient is φ = 210896784.

The previous prime is 320223139. The next prime is 320223229. The reversal of 320223213 is 312322023.

It is a happy number.

320223213 is a `hidden beast` number, since 320 + 22 + 321 + 3 = 666.

It is not a de Polignac number, because 320223213 - 28 = 320222957 is a prime.

It is a super-2 number, since 2×3202232132 = 205085812288086738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320223413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12231 + ... + 28107.

It is an arithmetic number, because the mean of its divisors is an integer number (20228572).

Almost surely, 2320223213 is an apocalyptic number.

It is an amenable number.

320223213 is a deficient number, since it is larger than the sum of its proper divisors (165262515).

320223213 is an equidigital number, since it uses as much as digits as its factorization.

320223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320223213 is about 17894.7817254081. The cubic root of 320223213 is about 684.1493787322.

Adding to 320223213 its reverse (312322023), we get a palindrome (632545236).

The spelling of 320223213 in words is "three hundred twenty million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 83 243 249 747 2241 6723 15877 20169 47631 142893 428679 1286037 1317791 3858111 3953373 11860119 35580357 106741071 320223213