Base | Representation |
---|---|
bin | 1110100100011… |
… | …00011110001110 |
3 | 22111221220212100 |
4 | 13102030132032 |
5 | 222241211230 |
6 | 20043215530 |
7 | 3012524634 |
oct | 722143616 |
9 | 274856770 |
10 | 122210190 |
11 | 62a91363 |
12 | 34b175a6 |
13 | 1c41bc2b |
14 | 12333354 |
15 | aae0660 |
hex | 748c78e |
122210190 has 48 divisors (see below), whose sum is σ = 320065200. Its totient is φ = 32351616.
The previous prime is 122210183. The next prime is 122210191. The reversal of 122210190 is 91012221.
It is a super-2 number, since 2×1222101902 = 29870661079672200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122210191) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7626 + ... + 17394.
It is an arithmetic number, because the mean of its divisors is an integer number (6668025).
Almost surely, 2122210190 is an apocalyptic number.
122210190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 122210190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160032600).
122210190 is an abundant number, since it is smaller than the sum of its proper divisors (197855010).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122210190 is a wasteful number, since it uses less digits than its factorization.
122210190 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9921 (or 9918 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
The square root of 122210190 is about 11054.8717767326. The cubic root of 122210190 is about 496.2522319902.
The spelling of 122210190 in words is "one hundred twenty-two million, two hundred ten thousand, one hundred ninety".
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