Search a number
-
+
220320330320 = 2452754004129
BaseRepresentation
bin1100110100110000011…
…1010111001001010000
3210001200111120102100002
43031030013113021100
512102204001032240
6245114101145132
721626512623356
oct3151407271120
9701614512302
10220320330320
118548a0a0122
12368489bb1a8
1317a1219247c
14a940b4d7d6
155ae73b7d15
hex334c1d7250

220320330320 has 20 divisors (see below), whose sum is σ = 512244768180. Its totient is φ = 88128132096.

The previous prime is 220320330287. The next prime is 220320330323. The reversal of 220320330320 is 23033023022.

It can be written as a sum of positive squares in 2 ways, for example, as 24128030224 + 196192300096 = 155332^2 + 442936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2203203303202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220320330292 and 220320330301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220320330323) 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 3 ways as a sum of consecutive naturals, for example, 1377001985 + ... + 1377002144.

It is an arithmetic number, because the mean of its divisors is an integer number (25612238409).

Almost surely, 2220320330320 is an apocalyptic number.

220320330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220320330320 is an abundant number, since it is smaller than the sum of its proper divisors (291924437860).

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

220320330320 is a wasteful number, since it uses less digits than its factorization.

220320330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754004142 (or 2754004136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 220320330320 its reverse (23033023022), we get a palindrome (243353353342).

The spelling of 220320330320 in words is "two hundred twenty billion, three hundred twenty million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2754004129 5508008258 11016016516 13770020645 22032033032 27540041290 44064066064 55080082580 110160165160 220320330320