Base | Representation |
---|---|
bin | 1110100101010… |
… | …10000100110000 |
3 | 22112012002012002 |
4 | 13102222010300 |
5 | 222304101230 |
6 | 20045553132 |
7 | 3013541300 |
oct | 722520460 |
9 | 275162162 |
10 | 122331440 |
11 | 63064470 |
12 | 34b757a8 |
13 | 1c46218a |
14 | 12365600 |
15 | ab16545 |
hex | 74aa130 |
122331440 has 120 divisors (see below), whose sum is σ = 361061712. Its totient is φ = 38115840.
The previous prime is 122331437. The next prime is 122331449. The reversal of 122331440 is 44133221.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (122331449) 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 23 ways as a sum of consecutive naturals, for example, 41702 + ... + 44538.
Almost surely, 2122331440 is an apocalyptic number.
122331440 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 122331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180530856).
122331440 is an abundant number, since it is smaller than the sum of its proper divisors (238730272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122331440 is a wasteful number, since it uses less digits than its factorization.
122331440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2875 (or 2862 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 122331440 is about 11060.3544247009. The cubic root of 122331440 is about 496.4162954910.
Adding to 122331440 its reverse (44133221), we get a palindrome (166464661).
The spelling of 122331440 in words is "one hundred twenty-two million, three hundred thirty-one thousand, four hundred forty".
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