Base | Representation |
---|---|
bin | 10101010010000111… |
… | …010000010111100000 |
3 | 2011222121221202210200 |
4 | 111102013100113200 |
5 | 333300213021430 |
6 | 14255343425200 |
7 | 1436206535445 |
oct | 252207202740 |
9 | 64877852720 |
10 | 22852470240 |
11 | 9767695146 |
12 | 45192b5200 |
13 | 2202646752 |
14 | 116b0879cc |
15 | 8db3bc460 |
hex | 5521d05e0 |
22852470240 has 144 divisors (see below), whose sum is σ = 78027165216. Its totient is φ = 6090624000.
The previous prime is 22852470233. The next prime is 22852470241. The reversal of 22852470240 is 4207425822.
22852470240 is a `hidden beast` number, since 2 + 28 + 524 + 70 + 2 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×228524702403 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 22852470195 and 22852470204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22852470241) 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, 3670330 + ... + 3676550.
It is an arithmetic number, because the mean of its divisors is an integer number (541855314).
Almost surely, 222852470240 is an apocalyptic number.
22852470240 is a gapful number since it is divisible by the number (20) 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 22852470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39013582608).
22852470240 is an abundant number, since it is smaller than the sum of its proper divisors (55174694976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22852470240 is a wasteful number, since it uses less digits than its factorization.
22852470240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8793 (or 8782 counting only the distinct ones).
The product of its (nonzero) digits is 71680, while the sum is 36.
The spelling of 22852470240 in words is "twenty-two billion, eight hundred fifty-two million, four hundred seventy thousand, two hundred forty".
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