Search a number
-
+
23225031760 = 2457273277293
BaseRepresentation
bin10101101000010100…
…011101110001010000
32012221120222212010111
4111220110131301100
5340031102004020
614400333011104
71451352340600
oct255024356120
965846885114
1023225031760
119938a1a127
124602023a94
13226189bc58
1411a4748c00
1590de60d5a
hex56851dc50

23225031760 has 240 divisors, whose sum is σ = 64122677136. Its totient is φ = 7798726656.

The previous prime is 23225031743. The next prime is 23225031761. The reversal of 23225031760 is 6713052232.

It can be written as a sum of positive squares in 8 ways, for example, as 83320384 + 23141711376 = 9128^2 + 152124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225031761) 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, 79266174 + ... + 79266466.

Almost surely, 223225031760 is an apocalyptic number.

23225031760 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 23225031760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32061338568).

23225031760 is an abundant number, since it is smaller than the sum of its proper divisors (40897645376).

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

23225031760 is a wasteful number, since it uses less digits than its factorization.

23225031760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 23225031760 its reverse (6713052232), we get a palindrome (29938083992).

The spelling of 23225031760 in words is "twenty-three billion, two hundred twenty-five million, thirty-one thousand, seven hundred sixty".