Base | Representation |
---|---|
bin | 1110100100110… |
… | …01001011111000 |
3 | 22112001120022000 |
4 | 13102121023320 |
5 | 222244343024 |
6 | 20044301000 |
7 | 3013132515 |
oct | 722311370 |
9 | 275046260 |
10 | 122262264 |
11 | 630174a3 |
12 | 34b41760 |
13 | 1c439847 |
14 | 1234830c |
15 | ab00cc9 |
hex | 74992f8 |
122262264 has 128 divisors (see below), whose sum is σ = 369408000. Its totient is φ = 37363680.
The previous prime is 122262263. The next prime is 122262281. The reversal of 122262264 is 462262221.
It is a happy number.
122262264 is a `hidden beast` number, since 12 + 22 + 622 + 6 + 4 = 666.
It is a super-2 number, since 2×1222622642 = 29896122396811392, 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 a taxicab number since it can be written as a sum of two cubes in more than one way. Here 122262264 = 623 + 4963 = 2793 + 4653.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122262263) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3943929 + ... + 3943959.
It is an arithmetic number, because the mean of its divisors is an integer number (2886000).
Almost surely, 2122262264 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122262264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184704000).
122262264 is an abundant number, since it is smaller than the sum of its proper divisors (247145736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122262264 is an equidigital number, since it uses as much as digits as its factorization.
122262264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 127 (or 55 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 122262264 is about 11057.2267770902. The cubic root of 122262264 is about 496.3227066623.
The spelling of 122262264 in words is "one hundred twenty-two million, two hundred sixty-two thousand, two hundred sixty-four".
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