Base | Representation |
---|---|
bin | 111011101011000… |
… | …0001111111010100 |
3 | 12011112121112212200 |
4 | 1313112001333110 |
5 | 13100034422040 |
6 | 530403244500 |
7 | 100421651301 |
oct | 16726017724 |
9 | 5145545780 |
10 | 2002264020 |
11 | 938253659 |
12 | 47a679730 |
13 | 25ba8aa13 |
14 | 14dcc80a8 |
15 | babad630 |
hex | 77581fd4 |
2002264020 has 36 divisors (see below), whose sum is σ = 6073534740. Its totient is φ = 533937024.
The previous prime is 2002264007. The next prime is 2002264021. The reversal of 2002264020 is 204622002.
It is a happy number.
2002264020 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 640 + 20 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 405941904 + 1596322116 = 20148^2 + 39954^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×20022640202 = 8018122411573120800, 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 = 2002263984 and 2002264002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002264021) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5561665 + ... + 5562024.
Almost surely, 22002264020 is an apocalyptic number.
2002264020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2002264020 is an abundant number, since it is smaller than the sum of its proper divisors (4071270720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002264020 is a wasteful number, since it uses less digits than its factorization.
2002264020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11123704 (or 11123699 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2002264020 is about 44746.6649036551. The cubic root of 2002264020 is about 1260.3962850255.
Adding to 2002264020 its reverse (204622002), we get a palindrome (2206886022).
The spelling of 2002264020 in words is "two billion, two million, two hundred sixty-four thousand, twenty".
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