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13223032220 = 2256112298819
BaseRepresentation
bin11000101000010011…
…10111010110011100
31021010112110122011002
430110021313112130
5204040044012340
610024035245432
7645451630226
oct142411672634
937115418132
1013223032220
115676069902
122690449878
131329661628
148d6225416
15525d0a715
hex31427759c

13223032220 has 48 divisors (see below), whose sum is σ = 28249754400. Its totient is φ = 5197681920.

The previous prime is 13223032201. The next prime is 13223032243. The reversal of 13223032220 is 2223032231.

13223032220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13223032192 and 13223032201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1494971 + ... + 1503789.

It is an arithmetic number, because the mean of its divisors is an integer number (588536550).

Almost surely, 213223032220 is an apocalyptic number.

13223032220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223032220 is an abundant number, since it is smaller than the sum of its proper divisors (15026722180).

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

13223032220 is a wasteful number, since it uses less digits than its factorization.

13223032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13223032220 its reverse (2223032231), we get a palindrome (15446064451).

The spelling of 13223032220 in words is "thirteen billion, two hundred twenty-three million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1229 2458 4916 6145 8819 12290 17638 24580 35276 44095 74969 88190 149938 176380 299876 374845 537959 749690 1075918 1499380 2151836 2689795 5379590 10759180 10838551 21677102 43354204 54192755 108385510 216771020 661151611 1322303222 2644606444 3305758055 6611516110 13223032220