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24400000000 = 2105861
BaseRepresentation
bin10110101110010110…
…100111010000000000
32022222110220102112201
4112232112213100000
5344432400000000
615113104402544
71522440402145
oct265626472000
968873812481
1024400000000
11a391189162
12488b616454
1323bb13a92c
1412768003cc
1597c1a496a
hex5ae5a7400

24400000000 has 198 divisors, whose sum is σ = 61969694834. Its totient is φ = 9600000000.

The previous prime is 24399999973. The next prime is 24400000007. The reversal of 24400000000 is 442.

It can be written as a sum of positive squares in 9 ways, for example, as 2249035776 + 22150964224 = 47424^2 + 148832^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24400000007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399999970 + ... + 400000030.

Almost surely, 224400000000 is an apocalyptic number.

24400000000 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 24400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30984847417).

24400000000 is an abundant number, since it is smaller than the sum of its proper divisors (37569694834).

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

24400000000 is an frugal number, since it uses more digits than its factorization.

24400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 24400000000 its reverse (442), we get a palindrome (24400000442).

The spelling of 24400000000 in words is "twenty-four billion, four hundred million", and thus it is an aban number.