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2302313220 = 22365198311
BaseRepresentation
bin1000100100111010…
…1000001100000100
312221110012122000000
42021032220030010
514203343010340
61020242321300
7111024224304
oct21116501404
95843178000
102302313220
11a81660aa9
12543059230
132a8ca501c
1417bab1604
15d71cbd30
hex893a8304

2302313220 has 168 divisors, whose sum is σ = 7631413440. Its totient is φ = 581567040.

The previous prime is 2302313173. The next prime is 2302313231. The reversal of 2302313220 is 223132032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2302313193 and 2302313202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 272865 + ... + 281175.

It is an arithmetic number, because the mean of its divisors is an integer number (45425080).

Almost surely, 22302313220 is an apocalyptic number.

2302313220 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 2302313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815706720).

2302313220 is an abundant number, since it is smaller than the sum of its proper divisors (5329100220).

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

2302313220 is a wasteful number, since it uses less digits than its factorization.

2302313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2302313220 is about 47982.4261579174. The cubic root of 2302313220 is about 1320.4485046163.

Adding to 2302313220 its reverse (223132032), we get a palindrome (2525445252).

The spelling of 2302313220 in words is "two billion, three hundred two million, three hundred thirteen thousand, two hundred twenty".