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33223013 is a prime number
BaseRepresentation
bin111111010111…
…1000101100101
32022111220101222
41332233011211
532001114023
63144030125
7552251045
oct176570545
968456358
1033223013
1117831a3a
12b162345
136b62cb5
1445ab725
152db3cc8
hex1faf165

33223013 has 2 divisors, whose sum is σ = 33223014. Its totient is φ = 33223012.

The previous prime is 33223007. The next prime is 33223019. The reversal of 33223013 is 31032233.

It is a balanced prime because it is at equal distance from previous prime (33223007) and next prime (33223019).

It can be written as a sum of positive squares in only one way, i.e., 16957924 + 16265089 = 4118^2 + 4033^2 .

It is a cyclic number.

It is not a de Polignac number, because 33223013 - 28 = 33222757 is a prime.

It is a super-2 number, since 2×332230132 = 2207537185596338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33222982 and 33223000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33223019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16611506 + 16611507.

It is an arithmetic number, because the mean of its divisors is an integer number (16611507).

Almost surely, 233223013 is an apocalyptic number.

It is an amenable number.

33223013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33223013 is an equidigital number, since it uses as much as digits as its factorization.

33223013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 33223013 is about 5763.9407526448. The cubic root of 33223013 is about 321.4743587589.

Adding to 33223013 its reverse (31032233), we get a palindrome (64255246).

The spelling of 33223013 in words is "thirty-three million, two hundred twenty-three thousand, thirteen".