Search a number
-
+
23844325120 = 28572111719107
BaseRepresentation
bin10110001101001110…
…111000011100000000
32021112202022012220121
4112031032320130000
5342313121400440
614542014350024
71502612263600
oct261516703400
967482265817
1023844325120
11a126555420
1247554bb314
13232cc91425
141222ab4c00
159484e034a
hex58d3b8700

23844325120 has 864 divisors, whose sum is σ = 81536958720. Its totient is φ = 6564741120.

The previous prime is 23844325117. The next prime is 23844325129. The reversal of 23844325120 is 2152344832.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23844325129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222844107 + ... + 222844213.

It is an arithmetic number, because the mean of its divisors is an integer number (94371480).

Almost surely, 223844325120 is an apocalyptic number.

23844325120 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 23844325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40768479360).

23844325120 is an abundant number, since it is smaller than the sum of its proper divisors (57692633600).

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

23844325120 is a wasteful number, since it uses less digits than its factorization.

23844325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 23844325120 its reverse (2152344832), we get a palindrome (25996669952).

The spelling of 23844325120 in words is "twenty-three billion, eight hundred forty-four million, three hundred twenty-five thousand, one hundred twenty".