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15105230232 = 23329435389107
BaseRepresentation
bin11100001000101011…
…11000010110011000
31102222201011012102120
432010111320112120
5221413414331412
610534513301240
71043215224051
oct160425702630
942881135376
1015105230232
116451566054
122b16864820
1315695a1371
14a341b7728
155d619db8c
hex384578598

15105230232 has 256 divisors, whose sum is σ = 41570496000. Its totient is φ = 4563406848.

The previous prime is 15105230171. The next prime is 15105230237. The reversal of 15105230232 is 23203250151.

It is a happy number.

It is a super-3 number, since 3×151052302323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15105230237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141170323 + ... + 141170429.

It is an arithmetic number, because the mean of its divisors is an integer number (162384750).

Almost surely, 215105230232 is an apocalyptic number.

15105230232 is a gapful number since it is divisible by the number (12) 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 15105230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785248000).

15105230232 is an abundant number, since it is smaller than the sum of its proper divisors (26465265768).

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

15105230232 is a wasteful number, since it uses less digits than its factorization.

15105230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 15105230232 its reverse (23203250151), we get a palindrome (38308480383).

The spelling of 15105230232 in words is "fifteen billion, one hundred five million, two hundred thirty thousand, two hundred thirty-two".