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320023220 = 225112132241
BaseRepresentation
bin10011000100110…
…010101010110100
3211022011212022212
4103010302222310
51123411220340
651431112552
710634103206
oct2304625264
9738155285
10320023220
11154710200
128b212758
13513bb96a
1430706776
151d166a65
hex13132ab4

320023220 has 36 divisors (see below), whose sum is σ = 738703812. Its totient is φ = 116371200.

The previous prime is 320023217. The next prime is 320023307. The reversal of 320023220 is 22320023.

It can be written as a sum of positive squares in 2 ways, for example, as 146942884 + 173080336 = 12122^2 + 13156^2 .

It is a super-2 number, since 2×3200232202 = 204829722678336800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320023195 and 320023204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63701 + ... + 68540.

Almost surely, 2320023220 is an apocalyptic number.

It is an amenable number.

320023220 is an abundant number, since it is smaller than the sum of its proper divisors (418680592).

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

320023220 is a wasteful number, since it uses less digits than its factorization.

320023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132272 (or 132259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 320023220 is about 17889.1928269556. The cubic root of 320023220 is about 684.0069222878.

Adding to 320023220 its reverse (22320023), we get a palindrome (342343243).

The spelling of 320023220 in words is "three hundred twenty million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 132241 264482 528964 661205 1322410 1454651 2644820 2909302 5818604 7273255 14546510 16001161 29093020 32002322 64004644 80005805 160011610 320023220