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13222053 = 321328693
BaseRepresentation
bin110010011100…
…000010100101
3220212202020200
4302130002211
511341101203
61151221113
7220246155
oct62340245
926782220
1013222053
117510a19
124517799
13297c300
141a82765
1512629a3
hexc9c0a5

13222053 has 18 divisors (see below), whose sum is σ = 20683026. Its totient is φ = 8135712.

The previous prime is 13222037. The next prime is 13222067. The reversal of 13222053 is 35022231.

It can be written as a sum of positive squares in 3 ways, for example, as 986049 + 12236004 = 993^2 + 3498^2 .

It is not a de Polignac number, because 13222053 - 24 = 13222037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222093) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2826 + ... + 5867.

It is an arithmetic number, because the mean of its divisors is an integer number (1149057).

Almost surely, 213222053 is an apocalyptic number.

13222053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13222053 is a deficient number, since it is larger than the sum of its proper divisors (7460973).

13222053 is a wasteful number, since it uses less digits than its factorization.

13222053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13222053 is about 3636.2141026073. The cubic root of 13222053 is about 236.4646893662.

Adding to 13222053 its reverse (35022231), we get a palindrome (48244284).

It can be divided in two parts, 1322 and 2053, that added together give a cube (3375 = 153).

The spelling of 13222053 in words is "thirteen million, two hundred twenty-two thousand, fifty-three".

Divisors: 1 3 9 13 39 117 169 507 1521 8693 26079 78237 113009 339027 1017081 1469117 4407351 13222053