Search a number
-
+
22022032032 = 25337111325463
BaseRepresentation
bin10100100000100111…
…011000101010100000
32002211202100010202000
4110200213120222200
5330100120011112
614041120324000
71406504120010
oct244047305240
962752303660
1022022032032
119380954680
124327173600
1320cc5972b0
1410cca77c40
1588d5317dc
hex5209d8aa0

22022032032 has 384 divisors, whose sum is σ = 86243512320. Its totient is φ = 5279800320.

The previous prime is 22022032003. The next prime is 22022032037. The reversal of 22022032032 is 23023022022.

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 = 22022031996 and 22022032014.

It is not an unprimeable number, because it can be changed into a prime (22022032037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852133 + ... + 877595.

It is an arithmetic number, because the mean of its divisors is an integer number (224592480).

Almost surely, 222022032032 is an apocalyptic number.

22022032032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43121756160).

22022032032 is an abundant number, since it is smaller than the sum of its proper divisors (64221480288).

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

22022032032 is a wasteful number, since it uses less digits than its factorization.

22022032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25513 (or 25499 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22022032032 its reverse (23023022022), we get a palindrome (45045054054).

It can be divided in two parts, 220220 and 32032, that added together give a palindrome (252252).

The spelling of 22022032032 in words is "twenty-two billion, twenty-two million, thirty-two thousand, thirty-two".