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22301120320 = 26569691001
BaseRepresentation
bin10100110001010000…
…000001011101000000
32010120012111021220021
4110301100001131000
5331133041322240
614124530223224
71416433252333
oct246120013500
963505437807
1022301120320
119504445856
1243a4724b14
1321453529ab
141117b6661a
158a7cae54a
hex531401740

22301120320 has 28 divisors (see below), whose sum is σ = 53104543524. Its totient is φ = 8920448000.

The previous prime is 22301120279. The next prime is 22301120323. The reversal of 22301120320 is 2302110322.

It can be written as a sum of positive squares in 2 ways, for example, as 11195332864 + 11105787456 = 105808^2 + 105384^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22301120294 and 22301120303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22301120323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 34845181 + ... + 34845820.

Almost surely, 222301120320 is an apocalyptic number.

22301120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22301120320 is an abundant number, since it is smaller than the sum of its proper divisors (30803423204).

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

22301120320 is an equidigital number, since it uses as much as digits as its factorization.

22301120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69691018 (or 69691008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22301120320 its reverse (2302110322), we get a palindrome (24603230642).

The spelling of 22301120320 in words is "twenty-two billion, three hundred one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 69691001 139382002 278764004 348455005 557528008 696910010 1115056016 1393820020 2230112032 2787640040 4460224064 5575280080 11150560160 22301120320