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238969080 = 2332572192331
BaseRepresentation
bin11100011111001…
…10000011111000
3121122122212221200
432033212003320
5442134002310
635413534200
75631126600
oct1617460370
9548585850
10238969080
1111298a009
1268044360
133a67c82c
1423a47c00
1515ea59c0
hexe3e60f8

238969080 has 576 divisors, whose sum is σ = 1024358400. Its totient is φ = 47900160.

The previous prime is 238969079. The next prime is 238969097. The reversal of 238969080 is 80969832.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7708665 + ... + 7708695.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 2238969080 is an apocalyptic number.

238969080 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 238969080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512179200).

238969080 is an abundant number, since it is smaller than the sum of its proper divisors (785389320).

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

238969080 is a wasteful number, since it uses less digits than its factorization.

238969080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 238969080 is about 15458.6247771268. The cubic root of 238969080 is about 620.5554162699. Note that the first 3 decimals are identical.

The spelling of 238969080 in words is "two hundred thirty-eight million, nine hundred sixty-nine thousand, eighty".