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222320033 = 13179971009
BaseRepresentation
bin11010100000001…
…01010110100001
3120111100000202022
431100011112201
5423403220113
634021031225
75336455235
oct1520052641
9514300668
10222320033
11104548371
1262555515
13370a0720
14217525c5
15147b7908
hexd4055a1

222320033 has 16 divisors (see below), whose sum is σ = 254010960. Its totient is φ = 192761856.

The previous prime is 222320029. The next prime is 222320167. The reversal of 222320033 is 330023222.

It can be written as a sum of positive squares in 8 ways, for example, as 667489 + 221652544 = 817^2 + 14888^2 .

It is a cyclic number.

It is not a de Polignac number, because 222320033 - 22 = 222320029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222319993 and 222320020.

It is not an unprimeable number, because it can be changed into a prime (222320633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219833 + ... + 220841.

It is an arithmetic number, because the mean of its divisors is an integer number (15875685).

Almost surely, 2222320033 is an apocalyptic number.

It is an amenable number.

222320033 is a deficient number, since it is larger than the sum of its proper divisors (31690927).

222320033 is a wasteful number, since it uses less digits than its factorization.

222320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036.

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 222320033 is about 14910.4001623028. The cubic root of 222320033 is about 605.7957182316.

Adding to 222320033 its reverse (330023222), we get a palindrome (552343255).

The spelling of 222320033 in words is "two hundred twenty-two million, three hundred twenty thousand, thirty-three".

Divisors: 1 13 17 221 997 1009 12961 13117 16949 17153 220337 222989 1005973 13077649 17101541 222320033