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23202400000 = 2855132397
BaseRepresentation
bin10101100110111110…
…001000011100000000
32012220000102001012011
4111212332020130000
5340004303300000
614354203542304
71450656101023
oct254676103400
965800361164
1023202400000
11992717159a
1245b652a994
132259ca6990
1411a17371ba
1590be902ba
hex566f88700

23202400000 has 432 divisors, whose sum is σ = 65723168448. Its totient is φ = 8110080000.

The previous prime is 23202399937. The next prime is 23202400019. The reversal of 23202400000 is 420232.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239199952 + ... + 239200048.

It is an arithmetic number, because the mean of its divisors is an integer number (152136964).

Almost surely, 223202400000 is an apocalyptic number.

23202400000 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 23202400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32861584224).

23202400000 is an abundant number, since it is smaller than the sum of its proper divisors (42520768448).

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

23202400000 is an frugal number, since it uses more digits than its factorization.

23202400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 23202400000 its reverse (420232), we get a palindrome (23202820232).

The spelling of 23202400000 in words is "twenty-three billion, two hundred two million, four hundred thousand".