Base | Representation |
---|---|
bin | 1110100110000… |
… | …10111110100100 |
3 | 22112101021010000 |
4 | 13103002332210 |
5 | 222320332234 |
6 | 20052101300 |
7 | 3014444550 |
oct | 723027644 |
9 | 275337100 |
10 | 122433444 |
11 | 63124071 |
12 | 35004830 |
13 | 1c499733 |
14 | 12390860 |
15 | ab36899 |
hex | 74c2fa4 |
122433444 has 120 divisors (see below), whose sum is σ = 375932480. Its totient is φ = 34012224.
The previous prime is 122433433. The next prime is 122433457. The reversal of 122433444 is 444334221.
It is a happy number.
It is a super-2 number, since 2×1224334442 = 29979896419402272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83187 + ... + 84645.
Almost surely, 2122433444 is an apocalyptic number.
122433444 is a gapful number since it is divisible by the number (14) 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 122433444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187966240).
122433444 is an abundant number, since it is smaller than the sum of its proper divisors (253499036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122433444 is a wasteful number, since it uses less digits than its factorization.
122433444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1519 (or 1508 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 122433444 is about 11064.9647084842. The cubic root of 122433444 is about 496.5542332668.
Adding to 122433444 its reverse (444334221), we get a palindrome (566767665).
The spelling of 122433444 in words is "one hundred twenty-two million, four hundred thirty-three thousand, four hundred forty-four".
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