Search a number
-
+
320212202320 = 24529138022501
BaseRepresentation
bin1001010100011100010…
…00100111001101010000
31010121112010202021212001
410222032020213031100
520221243310433240
6403034202443344
732064104545033
oct4521610471520
91117463667761
10320212202320
1111388a49303a
1252086503554
132427147393a
14116d96a501a
1584e1d9489a
hex4a8e227350

320212202320 has 40 divisors (see below), whose sum is σ = 770165561160. Its totient is φ = 123668160000.

The previous prime is 320212202281. The next prime is 320212202353. The reversal of 320212202320 is 23202212023.

It can be written as a sum of positive squares in 4 ways, for example, as 69884094736 + 250328107584 = 264356^2 + 500328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3202122023202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69008931 + ... + 69013570.

It is an arithmetic number, because the mean of its divisors is an integer number (19254139029).

Almost surely, 2320212202320 is an apocalyptic number.

It is an amenable number.

320212202320 is an abundant number, since it is smaller than the sum of its proper divisors (449953358840).

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

320212202320 is a wasteful number, since it uses less digits than its factorization.

320212202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138022543 (or 138022537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 320212202320 its reverse (23202212023), we get a palindrome (343414414343).

The spelling of 320212202320 in words is "three hundred twenty billion, two hundred twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 138022501 276045002 552090004 690112505 1104180008 1380225010 2208360016 2760450020 4002652529 5520900040 8005305058 11041800080 16010610116 20013262645 32021220232 40026525290 64042440464 80053050580 160106101160 320212202320