Base | Representation |
---|---|
bin | 1110100100011… |
… | …01010001000010 |
3 | 22111222002022210 |
4 | 13102031101002 |
5 | 222241312232 |
6 | 20043242550 |
7 | 3012540261 |
oct | 722152102 |
9 | 274862283 |
10 | 122213442 |
11 | 62a9384a |
12 | 34b19456 |
13 | 1c420560 |
14 | 123345d8 |
15 | aae15cc |
hex | 748d442 |
122213442 has 128 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 33067008.
The previous prime is 122213431. The next prime is 122213447. The reversal of 122213442 is 244312221.
It is a super-2 number, since 2×1222134422 = 29872250810974728, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (122213447) 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 63 ways as a sum of consecutive naturals, for example, 2305888 + ... + 2305940.
It is an arithmetic number, because the mean of its divisors is an integer number (2326968).
Almost surely, 2122213442 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122213442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).
122213442 is an abundant number, since it is smaller than the sum of its proper divisors (175638462).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122213442 is a wasteful number, since it uses less digits than its factorization.
122213442 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 172.
The product of its digits is 768, while the sum is 21.
The square root of 122213442 is about 11055.0188602281. The cubic root of 122213442 is about 496.2566336907.
Adding to 122213442 its reverse (244312221), we get a palindrome (366525663).
The spelling of 122213442 in words is "one hundred twenty-two million, two hundred thirteen thousand, four hundred forty-two".
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