Search a number
-
+
22032430000 = 24547449701
BaseRepresentation
bin10100100001001111…
…000011001110110000
32002212110220102001221
4110201033003032300
5330110300230000
614042131234424
71406661364540
oct244117031660
962773812057
1022032430000
119386806839
12432a748a14
132101798039
1410d01c3320
1588e3d761a
hex5213c33b0

22032430000 has 200 divisors, whose sum is σ = 61186039200. Its totient is φ = 7526400000.

The previous prime is 22032429973. The next prime is 22032430037. The reversal of 22032430000 is 3423022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31429650 + ... + 31430350.

It is an arithmetic number, because the mean of its divisors is an integer number (305930196).

Almost surely, 222032430000 is an apocalyptic number.

22032430000 is a gapful number since it is divisible by the number (20) 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 22032430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30593019600).

22032430000 is an abundant number, since it is smaller than the sum of its proper divisors (39153609200).

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

22032430000 is an equidigital number, since it uses as much as digits as its factorization.

22032430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 22032430000 its reverse (3423022), we get a palindrome (22035853022).

The spelling of 22032430000 in words is "twenty-two billion, thirty-two million, four hundred thirty thousand".