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22401320 = 2352811993
BaseRepresentation
bin101010101110…
…1000100101000
31120011002211112
41111131010220
521213320240
62120045452
7361256654
oct125350450
946132745
1022401320
1111710497
127603888
134844426
142d91a64
151e77665
hex155d128

22401320 has 32 divisors (see below), whose sum is σ = 50607720. Its totient is φ = 8924160.

The previous prime is 22401299. The next prime is 22401331. The reversal of 22401320 is 2310422.

It can be written as a sum of positive squares in 4 ways, for example, as 20994724 + 1406596 = 4582^2 + 1186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22401295 and 22401304.

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 7 ways as a sum of consecutive naturals, for example, 10244 + ... + 12236.

Almost surely, 222401320 is an apocalyptic number.

22401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22401320 is an abundant number, since it is smaller than the sum of its proper divisors (28206400).

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

22401320 is a wasteful number, since it uses less digits than its factorization.

22401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 22401320 is about 4733.0032748774. The cubic root of 22401320 is about 281.8974863371.

Adding to 22401320 its reverse (2310422), we get a palindrome (24711742).

The spelling of 22401320 in words is "twenty-two million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1124 1405 1993 2248 2810 3986 5620 7972 9965 11240 15944 19930 39860 79720 560033 1120066 2240132 2800165 4480264 5600330 11200660 22401320