Search a number
-
+
22442202024 = 2331127728031
BaseRepresentation
bin10100111001101010…
…001101001110101000
32010221000221222121120
4110321222031032220
5331430200431044
614150530135240
71423065366264
oct247152151650
963830858546
1022442202024
119577046600
124423a21520
13216864b4a8
14112c7ad0a4
158b537b519
hex539a8d3a8

22442202024 has 48 divisors (see below), whose sum is σ = 61669695360. Its totient is φ = 6800666400.

The previous prime is 22442202019. The next prime is 22442202047. The reversal of 22442202024 is 42020224422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22442201985 and 22442202003.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3861112 + ... + 3866919.

It is an arithmetic number, because the mean of its divisors is an integer number (1284785320).

Almost surely, 222442202024 is an apocalyptic number.

22442202024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22442202024 is an abundant number, since it is smaller than the sum of its proper divisors (39227493336).

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

22442202024 is a wasteful number, since it uses less digits than its factorization.

22442202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728062 (or 7728047 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22442202024 its reverse (42020224422), we get a palindrome (64462426446).

The spelling of 22442202024 in words is "twenty-two billion, four hundred forty-two million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 7728031 15456062 23184093 30912124 46368186 61824248 85008341 92736372 170016682 185472744 255025023 340033364 510050046 680066728 935091751 1020100092 1870183502 2040200184 2805275253 3740367004 5610550506 7480734008 11221101012 22442202024