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122342608 = 2417974637
BaseRepresentation
bin1110100101011…
…00110011010000
322112012122111201
413102230303100
5222304430413
620050120544
73013615663
oct722546320
9275178451
10122342608
11630718a3
1234b80154
131c46729b
14123696da
15ab199dd
hex74accd0

122342608 has 40 divisors (see below), whose sum is σ = 253624392. Its totient is φ = 56967168.

The previous prime is 122342573. The next prime is 122342617. The reversal of 122342608 is 806243221.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 105103504 = 4152^2 + 10252^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24066 + ... + 28702.

Almost surely, 2122342608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122342608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126812196).

122342608 is an abundant number, since it is smaller than the sum of its proper divisors (131281784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122342608 is a wasteful number, since it uses less digits than its factorization.

122342608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 122342608 is about 11060.8592794593. The cubic root of 122342608 is about 496.4314014700.

Adding to 122342608 its reverse (806243221), we get a palindrome (928585829).

The spelling of 122342608 in words is "one hundred twenty-two million, three hundred forty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1552 1649 3298 4637 6596 9274 13192 18548 26384 37096 74192 78829 157658 315316 449789 630632 899578 1261264 1799156 3598312 7196624 7646413 15292826 30585652 61171304 122342608