Base | Representation |
---|---|
bin | 1101000010111110101… |
… | …1001101000100000000 |
3 | 210102112120110222012000 |
4 | 3100233223031010000 |
5 | 12133013331413430 |
6 | 250545002304000 |
7 | 22123231606350 |
oct | 3205753150400 |
9 | 712476428160 |
10 | 224138154240 |
11 | 87069165800 |
12 | 375334b8000 |
13 | 181a012a690 |
14 | abc3c00b60 |
15 | 5c6c654e60 |
hex | 342facd100 |
224138154240 has 3456 divisors, whose sum is σ = 1169181081600. Its totient is φ = 39414988800.
The previous prime is 224138154239. The next prime is 224138154269. The reversal of 224138154240 is 42451831422.
224138154240 is a `hidden beast` number, since 2 + 2 + 41 + 38 + 1 + 542 + 40 = 666.
224138154240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×2241381542402 (a number of 24 digits) contains 22 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 = 224138154195 and 224138154204.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7230263025 + ... + 7230263055.
Almost surely, 2224138154240 is an apocalyptic number.
224138154240 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 224138154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584590540800).
224138154240 is an abundant number, since it is smaller than the sum of its proper divisors (945042927360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224138154240 is a wasteful number, since it uses less digits than its factorization.
224138154240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 91 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Adding to 224138154240 its reverse (42451831422), we get a palindrome (266589985662).
The spelling of 224138154240 in words is "two hundred twenty-four billion, one hundred thirty-eight million, one hundred fifty-four thousand, two hundred forty".
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