Search a number
-
+
24220130000 = 245411421523
BaseRepresentation
bin10110100011101000…
…011101101011010000
32022111221110002021212
4112203220131223100
5344100323130000
615043201235252
71515124464623
oct264350355320
968457402255
1024220130000
11a2a96a5170
12483b332b28
13238cab0c91
14125a97bdba
1596b4c4c35
hex5a3a1dad0

24220130000 has 200 divisors, whose sum is σ = 64244760096. Its totient is φ = 8769600000.

The previous prime is 24220129981. The next prime is 24220130003. The reversal of 24220130000 is 3102242.

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

It is a super-2 number, since 2×242201300002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24220130003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 46309739 + ... + 46310261.

Almost surely, 224220130000 is an apocalyptic number.

24220130000 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 24220130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32122380048).

24220130000 is an abundant number, since it is smaller than the sum of its proper divisors (40024630096).

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

24220130000 is a wasteful number, since it uses less digits than its factorization.

24220130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 24220130000 its reverse (3102242), we get a palindrome (24223232242).

The spelling of 24220130000 in words is "twenty-four billion, two hundred twenty million, one hundred thirty thousand".