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23220441200 = 24521123593889
BaseRepresentation
bin10101101000000010…
…111101000001110000
32012221021100122001202
4111220002331001300
5340023413104300
614400050350332
71451265331205
oct255002750160
965837318052
1023220441200
119936374180
12460058b3a8
132260952648
1411a3cb1cac
1590d855ad5
hex5680bd070

23220441200 has 240 divisors, whose sum is σ = 64597651200. Its totient is φ = 7937740800.

The previous prime is 23220441199. The next prime is 23220441203. The reversal of 23220441200 is 214402232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220441203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5968856 + ... + 5972744.

It is an arithmetic number, because the mean of its divisors is an integer number (269156880).

Almost surely, 223220441200 is an apocalyptic number.

23220441200 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 23220441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32298825600).

23220441200 is an abundant number, since it is smaller than the sum of its proper divisors (41377210000).

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

23220441200 is a wasteful number, since it uses less digits than its factorization.

23220441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23220441200 its reverse (214402232), we get a palindrome (23434843432).

The spelling of 23220441200 in words is "twenty-three billion, two hundred twenty million, four hundred forty-one thousand, two hundred".