Base | Representation |
---|---|
bin | 1110100101010… |
… | …10111111111000 |
3 | 22112012021101020 |
4 | 13102222333320 |
5 | 222304211344 |
6 | 20050022440 |
7 | 3013555314 |
oct | 722527770 |
9 | 275167336 |
10 | 122335224 |
11 | 630672a0 |
12 | 34b77a20 |
13 | 1c463b0b |
14 | 12366b44 |
15 | ab17719 |
hex | 74aaff8 |
122335224 has 128 divisors (see below), whose sum is σ = 363744000. Its totient is φ = 33909120.
The previous prime is 122335211. The next prime is 122335231. The reversal of 122335224 is 422533221.
It is a super-2 number, since 2×1223352242 = 29931814062260352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
Its product of digits (2880) is a multiple of the sum of its prime divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 122335194 and 122335203.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218442 + ... + 4218470.
It is an arithmetic number, because the mean of its divisors is an integer number (2841750).
Almost surely, 2122335224 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 122335224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181872000).
122335224 is an abundant number, since it is smaller than the sum of its proper divisors (241408776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122335224 is a wasteful number, since it uses less digits than its factorization.
122335224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 64 counting only the distinct ones).
The product of its digits is 2880, while the sum is 24.
The square root of 122335224 is about 11060.5254848041. The cubic root of 122335224 is about 496.4214138806.
Adding to 122335224 its reverse (422533221), we get a palindrome (544868445).
The spelling of 122335224 in words is "one hundred twenty-two million, three hundred thirty-five thousand, two hundred twenty-four".
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