| Base | Representation |
|---|---|
| bin | 1110111010101000… |
| … | …1000000000000000 |
| 3 | 101100001021022011100 |
| 4 | 3232222020000000 |
| 5 | 31200012121344 |
| 6 | 1501152014400 |
| 7 | 201136416231 |
| oct | 35652100000 |
| 9 | 11301238140 |
| 10 | 4004020224 |
| 11 | 177518a726 |
| 12 | 938b31400 |
| 13 | 4ba6cb549 |
| 14 | 29dabd088 |
| 15 | 1867bb569 |
| hex | eea88000 |
4004020224 has 96 divisors (see below), whose sum is σ = 11567844990. Its totient is φ = 1334575104.
The previous prime is 4004020201. The next prime is 4004020247. The reversal of 4004020224 is 4220204004.
4004020224 is a `hidden beast` number, since 40 + 0 + 402 + 0 + 224 = 666.
It is an interprime number because it is at equal distance from previous prime (4004020201) and next prime (4004020247).
It can be written as a sum of positive squares in only one way, i.e., 2378317824 + 1625702400 = 48768^2 + 40320^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 4004020197 and 4004020206.
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, 288124 + ... + 301700.
Almost surely, 24004020224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4004020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783922495).
4004020224 is an abundant number, since it is smaller than the sum of its proper divisors (7563824766).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4004020224 is an equidigital number, since it uses as much as digits as its factorization.
4004020224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13613 (or 13582 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 4004020224 is about 63277.3278828997. The cubic root of 4004020224 is about 1587.9326828856.
Adding to 4004020224 its reverse (4220204004), we get a palindrome (8224224228).
The spelling of 4004020224 in words is "four billion, four million, twenty thousand, two hundred twenty-four".
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