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33022222033 = 1714669132421
BaseRepresentation
bin11110110000010001…
…110001111011010001
310011020101010200121111
4132300101301323101
51020112142101113
623100432453321
72246215153543
oct366021617321
9104211120544
1033022222033
1113006202199
1264970aa241
13316355a268
141853997693
15cd410c13d
hex7b0471ed1

33022222033 has 8 divisors (see below), whose sum is σ = 34967353320. Its totient is φ = 31077384960.

The previous prime is 33022222031. The next prime is 33022222087.

33022222033 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3674420689 + 29347801344 = 60617^2 + 171312^2 .

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 33022222033 - 21 = 33022222031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33022221995 and 33022222013.

It is not an unprimeable number, because it can be changed into a prime (33022222031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183163 + ... + 315583.

It is an arithmetic number, because the mean of its divisors is an integer number (4370919165).

Almost surely, 233022222033 is an apocalyptic number.

It is an amenable number.

33022222033 is a deficient number, since it is larger than the sum of its proper divisors (1945131287).

33022222033 is a wasteful number, since it uses less digits than its factorization.

33022222033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147107.

The product of its (nonzero) digits is 2592, while the sum is 22.

The spelling of 33022222033 in words is "thirty-three billion, twenty-two million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 17 14669 132421 249373 2251157 1942483649 33022222033