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2014232020 = 225809124489
BaseRepresentation
bin111100000001110…
…1011110111010100
312012101010120212221
41320003223313110
513111120411040
6531511552124
7100625455363
oct17003536724
95171116787
102014232020
11943a88369
1248268b644
132613bb288
141517217da
15bbc7474a
hex780ebdd4

2014232020 has 24 divisors (see below), whose sum is σ = 4235149800. Its totient is φ = 804690432.

The previous prime is 2014231993. The next prime is 2014232021. The reversal of 2014232020 is 202324102.

It can be written as a sum of positive squares in 4 ways, for example, as 175880644 + 1838351376 = 13262^2 + 42876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2014231985 and 2014232003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014232021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46065 + ... + 78424.

It is an arithmetic number, because the mean of its divisors is an integer number (176464575).

Almost surely, 22014232020 is an apocalyptic number.

2014232020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014232020 is an abundant number, since it is smaller than the sum of its proper divisors (2220917780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2014232020 is a wasteful number, since it uses less digits than its factorization.

2014232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125307 (or 125305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2014232020 is about 44880.1963008185. The cubic root of 2014232020 is about 1262.9025258976.

Adding to 2014232020 its reverse (202324102), we get a palindrome (2216556122).

The spelling of 2014232020 in words is "two billion, fourteen million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 809 1618 3236 4045 8090 16180 124489 248978 497956 622445 1244890 2489780 100711601 201423202 402846404 503558005 1007116010 2014232020