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238672980 = 223457131619
BaseRepresentation
bin11100011100111…
…01110001010100
3121122002211210000
432032131301110
5442100013410
635403331300
75625454410
oct1616356124
9548084700
10238672980
111127a75a7
1267b20b30
133a5a7b20
14239abd40
1515e47dc0
hexe39dc54

238672980 has 240 divisors, whose sum is σ = 922078080. Its totient is φ = 50326272.

The previous prime is 238672969. The next prime is 238672981. The reversal of 238672980 is 89276832.

238672980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238672981) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146611 + ... + 148229.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2238672980 is an apocalyptic number.

238672980 is a gapful number since it is divisible by the number (20) 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 238672980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

238672980 is an abundant number, since it is smaller than the sum of its proper divisors (683405100).

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

238672980 is a wasteful number, since it uses less digits than its factorization.

238672980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 238672980 is about 15449.0446306560. The cubic root of 238672980 is about 620.2990059667.

The spelling of 238672980 in words is "two hundred thirty-eight million, six hundred seventy-two thousand, nine hundred eighty".