Search a number
-
+
188325000 = 23355531
BaseRepresentation
bin10110011100110…
…01110010001000
3111010100220100000
423032121302020
5341202400000
630404243000
74444510323
oct1316316210
9433326300
10188325000
11973393a6
12530a0460
133002a216
141b0237ba
1511800000
hexb399c88

188325000 has 288 divisors, whose sum is σ = 682456320. Its totient is φ = 48600000.

The previous prime is 188324999. The next prime is 188325023. The reversal of 188325000 is 523881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6074985 + ... + 6075015.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2188325000 is an apocalyptic number.

188325000 is a gapful number since it is divisible by the number (10) 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 188325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

188325000 is an abundant number, since it is smaller than the sum of its proper divisors (494131320).

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

188325000 is an frugal number, since it uses more digits than its factorization.

188325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 188325000 is about 13723.1556137792. The cubic root of 188325000 is about 573.1953501849.

Adding to 188325000 its reverse (523881), we get a palindrome (188848881).

It can be divided in two parts, 18832 and 5000, that added together give a palindrome (23832).

The spelling of 188325000 in words is "one hundred eighty-eight million, three hundred twenty-five thousand".