Base | Representation |
---|---|
bin | 1110100100011… |
… | …00011011010000 |
3 | 22111221220121022 |
4 | 13102030123100 |
5 | 222241210000 |
6 | 20043215012 |
7 | 3012524243 |
oct | 722143320 |
9 | 274856538 |
10 | 122210000 |
11 | 62a91200 |
12 | 34b17468 |
13 | 1c41bb13 |
14 | 1233325a |
15 | aae0585 |
hex | 748c6d0 |
122210000 has 150 divisors (see below), whose sum is σ = 328446426. Its totient is φ = 44000000.
The previous prime is 122209993. The next prime is 122210027. The reversal of 122210000 is 12221.
It can be written as a sum of positive squares in 5 ways, for example, as 17106496 + 105103504 = 4136^2 + 10252^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 122210000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209950 + ... + 1210050.
Almost surely, 2122210000 is an apocalyptic number.
122210000 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 122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164223213).
122210000 is an abundant number, since it is smaller than the sum of its proper divisors (206236426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122210000 is a wasteful number, since it uses less digits than its factorization.
122210000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 151 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 122210000 is about 11054.8631832330. The cubic root of 122210000 is about 496.2519748159.
Adding to 122210000 its reverse (12221), we get a palindrome (122222221).
Multiplying 122210000 by its reverse (12221), we get a square (1493528410000 = 12221002).
122210000 divided by its reverse (12221) gives a 4-th power (10000 = 104).
The spelling of 122210000 in words is "one hundred twenty-two million, two hundred ten thousand".
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