Base | Representation |
---|---|
bin | 1111101001101000… |
… | …0000000111100000 |
3 | 101211210011000112100 |
4 | 3322122000013200 |
5 | 32100441321344 |
6 | 1532512330400 |
7 | 206051634630 |
oct | 37232000740 |
9 | 11753130470 |
10 | 4201120224 |
11 | 1866471894 |
12 | 992b43a00 |
13 | 51c4ab872 |
14 | 2bbd486c0 |
15 | 198c51569 |
hex | fa6801e0 |
4201120224 has 72 divisors (see below), whose sum is σ = 13653647280. Its totient is φ = 1200319488.
The previous prime is 4201120211. The next prime is 4201120237. The reversal of 4201120224 is 4220211024.
4201120224 is a `hidden beast` number, since 420 + 1 + 1 + 20 + 224 = 666.
It is an interprime number because it is at equal distance from previous prime (4201120211) and next prime (4201120237).
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×42011202242 = 35298822273003620352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 4201120197 and 4201120206.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039929 + ... + 1043960.
It is an arithmetic number, because the mean of its divisors is an integer number (189633990).
Almost surely, 24201120224 is an apocalyptic number.
It is an amenable number.
4201120224 is an abundant number, since it is smaller than the sum of its proper divisors (9452527056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4201120224 is a wasteful number, since it uses less digits than its factorization.
4201120224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2083912 (or 2083901 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 4201120224 is about 64816.0491236546. The cubic root of 4201120224 is about 1613.5720778361.
Adding to 4201120224 its reverse (4220211024), we get a palindrome (8421331248).
The spelling of 4201120224 in words is "four billion, two hundred one million, one hundred twenty thousand, two hundred twenty-four".
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