Search a number
-
+
320202100220 = 2251773199241269
BaseRepresentation
bin1001010100011011000…
…10000100110111111100
31010121111102202001101012
410222031202010313330
520221233214201340
6403033202134352
732063622641612
oct4521542046774
91117442661335
10320202100220
111138848131a2
12520830513b8
132426c347772
14116d81d56b2
1584e104b565
hex4a8d884dfc

320202100220 has 192 divisors, whose sum is σ = 731076192000. Its totient is φ = 117369077760.

The previous prime is 320202100213. The next prime is 320202100241. The reversal of 320202100220 is 22001202023.

It is a junction number, because it is equal to n+sod(n) for n = 320202100195 and 320202100204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1190342246 + ... + 1190342514.

It is an arithmetic number, because the mean of its divisors is an integer number (3807688500).

Almost surely, 2320202100220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320202100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365538096000).

320202100220 is an abundant number, since it is smaller than the sum of its proper divisors (410874091780).

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

320202100220 is a wasteful number, since it uses less digits than its factorization.

320202100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 320202100220 its reverse (22001202023), we get a palindrome (342203302243).

The spelling of 320202100220 in words is "three hundred twenty billion, two hundred two million, one hundred thousand, two hundred twenty".