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13220442 = 233475209
BaseRepresentation
bin110010011011…
…101001011010
3220212200001000
4302123221122
511341023232
61151205430
7220241364
oct62335132
926780030
1013220442
11750a794
124516876
13297b661
141a81d34
15126227c
hexc9ba5a

13220442 has 32 divisors (see below), whose sum is σ = 30009600. Its totient is φ = 4312224.

The previous prime is 13220437. The next prime is 13220461. The reversal of 13220442 is 24402231.

13220442 is a `hidden beast` number, since 1 + 3 + 220 + 442 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67 + ... + 5142.

It is an arithmetic number, because the mean of its divisors is an integer number (937800).

Almost surely, 213220442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004800).

13220442 is an abundant number, since it is smaller than the sum of its proper divisors (16789158).

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

13220442 is a wasteful number, since it uses less digits than its factorization.

13220442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13220442 is about 3635.9925742498. The cubic root of 13220442 is about 236.4550852075.

Adding to 13220442 its reverse (24402231), we get a palindrome (37622673).

The spelling of 13220442 in words is "thirteen million, two hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 5209 10418 15627 31254 46881 93762 140643 244823 281286 489646 734469 1468938 2203407 4406814 6610221 13220442