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320014114220 = 2251723611574273
BaseRepresentation
bin1001010100000100101…
…00111101110110101100
31010121000100000101001202
410222002110331312230
520220342103123340
6403002405025032
732056151042513
oct4520224756654
91117010011052
10320014114220
11113798696569
12520300b5178
132423c408948
14116bb25d67a
1584ce7b6c15
hex4a8253ddac

320014114220 has 192 divisors, whose sum is σ = 759654878976. Its totient is φ = 112600350720.

The previous prime is 320014114187. The next prime is 320014114291. The reversal of 320014114220 is 22411410023.

It is a super-2 number, since 2×3200141142202 (a number of 24 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 = 320014114192 and 320014114201.

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, 74890004 + ... + 74894276.

It is an arithmetic number, because the mean of its divisors is an integer number (3956535828).

Almost surely, 2320014114220 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 320014114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379827439488).

320014114220 is an abundant number, since it is smaller than the sum of its proper divisors (439640764756).

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

320014114220 is a wasteful number, since it uses less digits than its factorization.

320014114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 320014114220 its reverse (22411410023), we get a palindrome (342425524243).

The spelling of 320014114220 in words is "three hundred twenty billion, fourteen million, one hundred fourteen thousand, two hundred twenty".