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189266688 = 2832137189
BaseRepresentation
bin10110100011111…
…11101100000000
3111012010202002100
423101333230000
5341423013223
630440350400
74455511632
oct1321775400
9435122070
10189266688
1197921956
1253475400
1330299a30
141b1caa52
1511939043
hexb47fb00

189266688 has 216 divisors, whose sum is σ = 602652960. Its totient is φ = 56770560.

The previous prime is 189266683. The next prime is 189266717. The reversal of 189266688 is 886662981.

It is a happy number.

189266688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189266681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2126548 + ... + 2126636.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2189266688 is an apocalyptic number.

189266688 is a gapful number since it is divisible by the number (18) 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 189266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).

189266688 is an abundant number, since it is smaller than the sum of its proper divisors (413386272).

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

189266688 is a wasteful number, since it uses less digits than its factorization.

189266688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 189266688 is about 13757.4230145038. The cubic root of 189266688 is about 574.1491516718.

The spelling of 189266688 in words is "one hundred eighty-nine million, two hundred sixty-six thousand, six hundred eighty-eight".