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2311441420 = 225414915741
BaseRepresentation
bin1000100111000101…
…1100110000001100
312222002101101112111
42021301130300030
514213212111140
61021210113404
7111164633161
oct21161346014
95862341474
102311441420
11a86826172
1254611b864
132aab4cb22
1417cdaa068
15d7dd17ea
hex89c5cc0c

2311441420 has 48 divisors (see below), whose sum is σ = 4983412896. Its totient is φ = 900032000.

The previous prime is 2311441403. The next prime is 2311441427. The reversal of 2311441420 is 241441132.

It is a happy number.

It is a super-2 number, since 2×23114414202 = 10685522876183232800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2311441391 and 2311441400.

It is not an unprimeable number, because it can be changed into a prime (2311441427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399750 + ... + 405490.

It is an arithmetic number, because the mean of its divisors is an integer number (103821102).

Almost surely, 22311441420 is an apocalyptic number.

2311441420 is a gapful number since it is divisible by the number (20) 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 2311441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491706448).

2311441420 is an abundant number, since it is smaller than the sum of its proper divisors (2671971476).

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

2311441420 is a wasteful number, since it uses less digits than its factorization.

2311441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2311441420 is about 48077.4523035487. The cubic root of 2311441420 is about 1322.1913059122.

Adding to 2311441420 its reverse (241441132), we get a palindrome (2552882552).

The spelling of 2311441420 in words is "two billion, three hundred eleven million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 491 820 982 1964 2455 4910 5741 9820 11482 20131 22964 28705 40262 57410 80524 100655 114820 201310 235381 402620 470762 941524 1176905 2353810 2818831 4707620 5637662 11275324 14094155 28188310 56376620 115572071 231144142 462288284 577860355 1155720710 2311441420