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230219808 = 25371319273
BaseRepresentation
bin11011011100011…
…10000000100000
3121001012101012120
431232032000200
5432414013213
634502224240
75463556530
oct1556160040
9531171176
10230219808
11108a53605
1265125080
1338908350
142280b4c0
1515328423
hexdb8e020

230219808 has 288 divisors, whose sum is σ = 795747456. Its totient is φ = 56733696.

The previous prime is 230219791. The next prime is 230219813. The reversal of 230219808 is 808912032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153660 + ... + 3153732.

It is an arithmetic number, because the mean of its divisors is an integer number (2763012).

Almost surely, 2230219808 is an apocalyptic number.

230219808 is a gapful number since it is divisible by the number (28) 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 230219808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397873728).

230219808 is an abundant number, since it is smaller than the sum of its proper divisors (565527648).

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

230219808 is a wasteful number, since it uses less digits than its factorization.

230219808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 230219808 is about 15172.9960126535. The cubic root of 230219808 is about 612.8876861436.

The spelling of 230219808 in words is "two hundred thirty million, two hundred nineteen thousand, eight hundred eight".