Search a number
-
+
2042222020420 = 225293521072449
BaseRepresentation
bin11101101101111101111…
…010110000011101000100
321020020022222000201110011
4131231331322300131010
5231424432314123140
64202103413240004
7300355110520351
oct35557572603504
97206288021404
102042222020420
117181130a973a
1228b968033004
1311a771a881ca
1470bb61cb628
15381c9ad0cea
hex1db7deb0744

2042222020420 has 24 divisors (see below), whose sum is σ = 4436551287000. Its totient is φ = 788720228352.

The previous prime is 2042222020361. The next prime is 2042222020441. The reversal of 2042222020420 is 240202222402.

It can be written as a sum of positive squares in 4 ways, for example, as 51645289536 + 1990576730884 = 227256^2 + 1410878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2042222020391 and 2042222020400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1760535645 + ... + 1760536804.

It is an arithmetic number, because the mean of its divisors is an integer number (184856303625).

Almost surely, 22042222020420 is an apocalyptic number.

2042222020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042222020420 is an abundant number, since it is smaller than the sum of its proper divisors (2394329266580).

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

2042222020420 is a wasteful number, since it uses less digits than its factorization.

2042222020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521072487 (or 3521072485 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2042222020420 its reverse (240202222402), we get a palindrome (2282424242822).

The spelling of 2042222020420 in words is "two trillion, forty-two billion, two hundred twenty-two million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3521072449 7042144898 14084289796 17605362245 35210724490 70421448980 102111101021 204222202042 408444404084 510555505105 1021111010210 2042222020420