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23201123440 = 24511192199367
BaseRepresentation
bin10101100110111001…
…010000110001110000
32012212221000012002011
4111212321100301300
5340003441422230
614354120332304
71450642203205
oct254671206160
965787005064
1023201123440
11992647a490
1245b6014094
13225994a911
1411a14c3cac
1590bcdbe2a
hex566e50c70

23201123440 has 240 divisors, whose sum is σ = 62588851200. Its totient is φ = 7930897920.

The previous prime is 23201123437. The next prime is 23201123443. The reversal of 23201123440 is 4432110232.

It is an interprime number because it is at equal distance from previous prime (23201123437) and next prime (23201123443).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201123443) 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, 63218137 + ... + 63218503.

It is an arithmetic number, because the mean of its divisors is an integer number (260786880).

Almost surely, 223201123440 is an apocalyptic number.

23201123440 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 23201123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31294425600).

23201123440 is an abundant number, since it is smaller than the sum of its proper divisors (39387727760).

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

23201123440 is a wasteful number, since it uses less digits than its factorization.

23201123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23201123440 its reverse (4432110232), we get a palindrome (27633233672).

It can be divided in two parts, 23201 and 123440, that added together give a palindrome (146641).

The spelling of 23201123440 in words is "twenty-three billion, two hundred one million, one hundred twenty-three thousand, four hundred forty".