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320114234220 = 2235113137422861
BaseRepresentation
bin1001010100010000100…
…10111001001101101100
31010121021022101222212220
410222020102321031230
520221043220443340
6403020342555340
732061505044534
oct4521022711554
91117238358786
10320114234220
1111383a15a170
1252059738b50
1324257091c51
14116ca6824c4
1584d8491ed0
hex4a884b936c

320114234220 has 192 divisors, whose sum is σ = 1036627587072. Its totient is φ = 73070208000.

The previous prime is 320114234213. The next prime is 320114234227. The reversal of 320114234220 is 22432411023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320114234213) and next prime (320114234227).

It is not an unprimeable number, because it can be changed into a prime (320114234227) 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 63 ways as a sum of consecutive naturals, for example, 545590 + ... + 968450.

It is an arithmetic number, because the mean of its divisors is an integer number (5399102016).

Almost surely, 2320114234220 is an apocalyptic number.

320114234220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320114234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518313793536).

320114234220 is an abundant number, since it is smaller than the sum of its proper divisors (716513352852).

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

320114234220 is a wasteful number, since it uses less digits than its factorization.

320114234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422952 (or 422950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 320114234220 its reverse (22432411023), we get a palindrome (342546645243).

The spelling of 320114234220 in words is "three hundred twenty billion, one hundred fourteen million, two hundred thirty-four thousand, two hundred twenty".