Base | Representation |
---|---|
bin | 1110100100100… |
… | …11000001110000 |
3 | 22112000021200210 |
4 | 13102103001300 |
5 | 222243041130 |
6 | 20043544120 |
7 | 3012666132 |
oct | 722230160 |
9 | 275007623 |
10 | 122237040 |
11 | 62aaa552 |
12 | 34b2b040 |
13 | 1c42b213 |
14 | 1233d052 |
15 | aae85b0 |
hex | 7493070 |
122237040 has 80 divisors (see below), whose sum is σ = 384180768. Its totient is φ = 32145408.
The previous prime is 122237009. The next prime is 122237041. The reversal of 122237040 is 40732221.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 122236998 and 122237016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122237041) 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, 14032 + ... + 21008.
Almost surely, 2122237040 is an apocalyptic number.
122237040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192090384).
122237040 is an abundant number, since it is smaller than the sum of its proper divisors (261943728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122237040 is a wasteful number, since it uses less digits than its factorization.
122237040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7066 (or 7060 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 21.
The square root of 122237040 is about 11056.0861067559. The cubic root of 122237040 is about 496.2885721043.
Adding to 122237040 its reverse (40732221), we get a palindrome (162969261).
The spelling of 122237040 in words is "one hundred twenty-two million, two hundred thirty-seven thousand, forty".
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