Search a number
-
+
4220004012 = 223797517919
BaseRepresentation
bin1111101110001000…
…0010011010101100
3101220002200102012220
43323202002122230
532120310112022
61534425155340
7206401304460
oct37342023254
911802612186
104220004012
11187609a524
1299932bb50
13523390bc3
142c06624a0
1519a73185c
hexfb8826ac

4220004012 has 48 divisors (see below), whose sum is σ = 11369379840. Its totient is φ = 1193283072.

The previous prime is 4220003981. The next prime is 4220004023. The reversal of 4220004012 is 2104000224.

4220004012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42200040122 = 35616867722592192288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4220003982 and 4220004000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250812 + ... + 267107.

It is an arithmetic number, because the mean of its divisors is an integer number (236862080).

Almost surely, 24220004012 is an apocalyptic number.

4220004012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4220004012 is an abundant number, since it is smaller than the sum of its proper divisors (7149375828).

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

4220004012 is a wasteful number, since it uses less digits than its factorization.

4220004012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518030 (or 518028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4220004012 is about 64961.5579554555. The cubic root of 4220004012 is about 1615.9861016311.

Adding to 4220004012 its reverse (2104000224), we get a palindrome (6324004236).

The spelling of 4220004012 in words is "four billion, two hundred twenty million, four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 8148 517919 1035838 1553757 2071676 3107514 3625433 6215028 7250866 10876299 14501732 21752598 43505196 50238143 100476286 150714429 200952572 301428858 351667001 602857716 703334002 1055001003 1406668004 2110002006 4220004012