Search a number
-
+
15200453112 = 23313194789613
BaseRepresentation
bin11100010100000010…
…01000000111111000
31110020100100000122220
432022001020013320
5222112303444422
610552154244040
71045452501555
oct161201100770
943210300586
1015200453112
1164a0294449
122b42726620
131583231670
14a42ac3a2c
155de70ce5c
hex38a0481f8

15200453112 has 256 divisors, whose sum is σ = 44561664000. Its totient is φ = 4280905728.

The previous prime is 15200453101. The next prime is 15200453113. The reversal of 15200453112 is 21135400251.

It is a happy number.

It is a super-2 number, since 2×152004531122 (a number of 21 digits) contains 22 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 (15200453113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24796518 + ... + 24797130.

It is an arithmetic number, because the mean of its divisors is an integer number (174069000).

Almost surely, 215200453112 is an apocalyptic number.

15200453112 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 15200453112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280832000).

15200453112 is an abundant number, since it is smaller than the sum of its proper divisors (29361210888).

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

15200453112 is a wasteful number, since it uses less digits than its factorization.

15200453112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 15200453112 its reverse (21135400251), we get a palindrome (36335853363).

The spelling of 15200453112 in words is "fifteen billion, two hundred million, four hundred fifty-three thousand, one hundred twelve".