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232222013 = 1492336689
BaseRepresentation
bin11011101011101…
…10110100111101
3121011222002201022
431311312310331
5433422101023
635013153525
75516566052
oct1565666475
9534862638
10232222013
1110a0a0921
126592b8a5
133915979a
1422bad029
15155c17c8
hexdd76d3d

232222013 has 8 divisors (see below), whose sum is σ = 234819000. Its totient is φ = 229639168.

The previous prime is 232221959. The next prime is 232222019. The reversal of 232222013 is 310222232.

It can be written as a sum of positive squares in 4 ways, for example, as 9078169 + 223143844 = 3013^2 + 14938^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 232222013 - 214 = 232205629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232221982 and 232222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232222019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31373 + ... + 38061.

It is an arithmetic number, because the mean of its divisors is an integer number (29352375).

Almost surely, 2232222013 is an apocalyptic number.

It is an amenable number.

232222013 is a deficient number, since it is larger than the sum of its proper divisors (2596987).

232222013 is a wasteful number, since it uses less digits than its factorization.

232222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 232222013 is about 15238.8324027794. The cubic root of 232222013 is about 614.6593067503.

Adding to 232222013 its reverse (310222232), we get a palindrome (542444245).

The spelling of 232222013 in words is "two hundred thirty-two million, two hundred twenty-two thousand, thirteen".

Divisors: 1 149 233 6689 34717 996661 1558537 232222013