Base | Representation |
---|---|
bin | 111010100001111111001… |
… | …110111001010000010100 |
3 | 112020112001201001212200000 |
4 | 322201333032321100110 |
5 | 1011400003321000040 |
6 | 12315441215251300 |
7 | 563411313615102 |
oct | 72417716712024 |
9 | 15215051055600 |
10 | 4022224000020 |
11 | 13108a7652836 |
12 | 54b64a819b30 |
13 | 2323a91889c5 |
14 | dc968b4cc72 |
15 | 6e9620d4130 |
hex | 3a87f3b9414 |
4022224000020 has 144 divisors (see below), whose sum is σ = 12698307218688. Its totient is φ = 1068720531840.
The previous prime is 4022223999979. The next prime is 4022224000033. The reversal of 4022224000020 is 200004222204.
4022224000020 is a `hidden beast` number, since 40 + 2 + 222 + 400 + 0 + 0 + 2 + 0 = 666.
It is a super-4 number, since 4×40222240000204 (a number of 52 digits) contains 4444 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 = 4022223999957 and 4022224000002.
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, 147676 + ... + 2840115.
Almost surely, 24022224000020 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 4022224000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349153609344).
4022224000020 is an abundant number, since it is smaller than the sum of its proper divisors (8676083218668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4022224000020 is a wasteful number, since it uses less digits than its factorization.
4022224000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2988092 (or 2988078 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
Adding to 4022224000020 its reverse (200004222204), we get a palindrome (4222228222224).
The spelling of 4022224000020 in words is "four trillion, twenty-two billion, two hundred twenty-four million, twenty", and thus it is an aban number.
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