Search a number
-
+
188831104 = 2773111723
BaseRepresentation
bin10110100000101…
…01010110000000
3111011022121120121
423100111112000
5341320043404
630423150024
74452016000
oct1320252600
9434277517
10188831104
1197654670
12532a5314
13301766a7
141b116000
151189ee54
hexb415580

188831104 has 256 divisors, whose sum is σ = 528768000. Its totient is φ = 66232320.

The previous prime is 188831039. The next prime is 188831113. The reversal of 188831104 is 401138881.

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

It is a self number, because there is not a number n which added to its sum of digits gives 188831104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8210037 + ... + 8210059.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2188831104 is an apocalyptic number.

188831104 is a gapful number since it is divisible by the number (14) 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 188831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

188831104 is an abundant number, since it is smaller than the sum of its proper divisors (339936896).

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

188831104 is a wasteful number, since it uses less digits than its factorization.

188831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 188831104 is about 13741.5830238004. The cubic root of 188831104 is about 573.7083586874.

Adding to 188831104 its reverse (401138881), we get a palindrome (589969985).

The spelling of 188831104 in words is "one hundred eighty-eight million, eight hundred thirty-one thousand, one hundred four".