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122242433 = 5314891549
BaseRepresentation
bin1110100100101…
…00010110000001
322112000120002112
413102110112001
5222243224213
620044025105
73013020635
oct722242601
9275016075
10122242433
1163003605
1234b32195
131c430801
1412340dc5
15aae9ea8
hex7494581

122242433 has 8 divisors (see below), whose sum is σ = 124713000. Its totient is φ = 119778048.

The previous prime is 122242429. The next prime is 122242457. The reversal of 122242433 is 334242221.

It can be written as a sum of positive squares in 4 ways, for example, as 8862529 + 113379904 = 2977^2 + 10648^2 .

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 122242433 - 22 = 122242429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122242399 and 122242408.

It is not an unprimeable number, because it can be changed into a prime (122242423) 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, 78143 + ... + 79691.

It is an arithmetic number, because the mean of its divisors is an integer number (15589125).

Almost surely, 2122242433 is an apocalyptic number.

It is an amenable number.

122242433 is a deficient number, since it is larger than the sum of its proper divisors (2470567).

122242433 is a wasteful number, since it uses less digits than its factorization.

122242433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091.

The product of its digits is 2304, while the sum is 23.

The square root of 122242433 is about 11056.3299968841. The cubic root of 122242433 is about 496.2958706147.

Adding to 122242433 its reverse (334242221), we get a palindrome (456484654).

The spelling of 122242433 in words is "one hundred twenty-two million, two hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 53 1489 1549 78917 82097 2306461 122242433