Base | Representation |
---|---|
bin | 1101000010110111000… |
… | …1101010111101000000 |
3 | 210102110100112100200000 |
4 | 3100231301222331000 |
5 | 12132432202420404 |
6 | 250541503400000 |
7 | 22122364035516 |
oct | 3205561527500 |
9 | 712410470600 |
10 | 224106295104 |
11 | 8705218553a |
12 | 375248b3000 |
13 | 18196654413 |
14 | abbd8aa4b6 |
15 | 5c69960339 |
hex | 342dc6af40 |
224106295104 has 336 divisors, whose sum is σ = 681848207040. Its totient is φ = 72962519040.
The previous prime is 224106295093. The next prime is 224106295123. The reversal of 224106295104 is 401592601422.
It is a happy number.
224106295104 is a `hidden beast` number, since 2 + 2 + 4 + 10 + 629 + 5 + 10 + 4 = 666.
It is a super-2 number, since 2×2241062951042 (a number of 24 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123746359 + ... + 123748169.
It is an arithmetic number, because the mean of its divisors is an integer number (2029310140).
Almost surely, 2224106295104 is an apocalyptic number.
224106295104 is a gapful number since it is divisible by the number (24) 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 224106295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340924103520).
224106295104 is an abundant number, since it is smaller than the sum of its proper divisors (457741911936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224106295104 is a wasteful number, since it uses less digits than its factorization.
224106295104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2020 (or 1998 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
Adding to 224106295104 its reverse (401592601422), we get a palindrome (625698896526).
The spelling of 224106295104 in words is "two hundred twenty-four billion, one hundred six million, two hundred ninety-five thousand, one hundred four".
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