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13220193 = 3723101271
BaseRepresentation
bin110010011011…
…100101100001
3220212122200210
4302123211201
511341021233
61151204333
7220240560
oct62334541
926778623
1013220193
11750a588
1245166a9
13297b4cc
141a81bd7
151262163
hexc9b961

13220193 has 32 divisors (see below), whose sum is σ = 21307392. Its totient is φ = 7128000.

The previous prime is 13220191. The next prime is 13220213. The reversal of 13220193 is 39102231.

It is a happy number.

13220193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13220193 - 21 = 13220191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13220191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48648 + ... + 48918.

It is an arithmetic number, because the mean of its divisors is an integer number (665856).

Almost surely, 213220193 is an apocalyptic number.

It is an amenable number.

13220193 is a deficient number, since it is larger than the sum of its proper divisors (8087199).

13220193 is a wasteful number, since it uses less digits than its factorization.

13220193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13220193 is about 3635.9583330946. The cubic root of 13220193 is about 236.4536006962.

The spelling of 13220193 in words is "thirteen million, two hundred twenty thousand, one hundred ninety-three".

Divisors: 1 3 7 21 23 69 101 161 271 303 483 707 813 1897 2121 2323 5691 6233 6969 16261 18699 27371 43631 48783 82113 130893 191597 574791 629533 1888599 4406731 13220193