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122233033 = 1328133461
BaseRepresentation
bin1110100100100…
…10000011001001
322112000002012101
413102102003021
5222242424113
620043513401
73012651346
oct722220311
9275002171
10122233033
1162aa753a
1234b28861
131c429450
141233b7cd
15aae72dd
hex74920c9

122233033 has 8 divisors (see below), whose sum is σ = 132107976. Its totient is φ = 112425600.

The previous prime is 122233019. The next prime is 122233037. The reversal of 122233033 is 330332221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9809424 + 112423609 = 3132^2 + 10603^2 .

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 122233033 - 213 = 122224841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122233033.

It is not an unprimeable number, because it can be changed into a prime (122233037) 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 7 ways as a sum of consecutive naturals, for example, 13078 + ... + 20383.

It is an arithmetic number, because the mean of its divisors is an integer number (16513497).

Almost surely, 2122233033 is an apocalyptic number.

122233033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122233033 is a deficient number, since it is larger than the sum of its proper divisors (9874943).

122233033 is a wasteful number, since it uses less digits than its factorization.

122233033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33755.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 122233033 is about 11055.9048928616. The cubic root of 122233033 is about 496.2831491708.

Adding to 122233033 its reverse (330332221), we get a palindrome (452565254).

The spelling of 122233033 in words is "one hundred twenty-two million, two hundred thirty-three thousand, thirty-three".

Divisors: 1 13 281 3653 33461 434993 9402541 122233033