Search a number
-
+
235848000 = 2635331317
BaseRepresentation
bin11100000111011…
…00000101000000
3121102210022122010
432003230011000
5440334114000
635223012520
75562450333
oct1603540500
9542708563
10235848000
11111148103
1266b9a140
1339b2903b
142347461a
1515a8ad50
hexe0ec140

235848000 has 224 divisors, whose sum is σ = 806427648. Its totient is φ = 60672000.

The previous prime is 235847999. The next prime is 235848037. The reversal of 235848000 is 848532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743842 + ... + 744158.

Almost surely, 2235848000 is an apocalyptic number.

235848000 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 235848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403213824).

235848000 is an abundant number, since it is smaller than the sum of its proper divisors (570579648).

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

235848000 is a wasteful number, since it uses less digits than its factorization.

235848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 235848000 is about 15357.3435202837. The cubic root of 235848000 is about 617.8419595670.

The spelling of 235848000 in words is "two hundred thirty-five million, eight hundred forty-eight thousand".