Base | Representation |
---|---|
bin | 1110100110001… |
… | …10101000000000 |
3 | 22112102000121100 |
4 | 13103012220000 |
5 | 222321322014 |
6 | 20052254400 |
7 | 3014536242 |
oct | 723065000 |
9 | 275360540 |
10 | 122448384 |
11 | 63134313 |
12 | 35011400 |
13 | 1c4a3486 |
14 | 12396092 |
15 | ab3b009 |
hex | 74c6a00 |
122448384 has 60 divisors (see below), whose sum is σ = 353407626. Its totient is φ = 40814592.
The previous prime is 122448379. The next prime is 122448397. The reversal of 122448384 is 483844221.
It can be written as a sum of positive squares in only one way, i.e., 62726400 + 59721984 = 7920^2 + 7728^2 .
It is a super-2 number, since 2×1224483842 = 29987213488422912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8679 + ... + 17894.
Almost surely, 2122448384 is an apocalyptic number.
It is an amenable number.
122448384 is an abundant number, since it is smaller than the sum of its proper divisors (230959242).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122448384 is an equidigital number, since it uses as much as digits as its factorization.
122448384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26597 (or 26578 counting only the distinct ones).
The product of its digits is 49152, while the sum is 36.
The square root of 122448384 is about 11065.6397917156. The cubic root of 122448384 is about 496.5744298685.
The spelling of 122448384 in words is "one hundred twenty-two million, four hundred forty-eight thousand, three hundred eighty-four".
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