Search a number
-
+
234955728 = 243578997
BaseRepresentation
bin11100000000100…
…10001111010000
3121101002222200000
432000102033100
5440122040403
635151530000
75552043060
oct1600221720
9541088600
10234955728
11110698797
1266829900
13398a5b77
14232c13a0
15159617a3
hexe0123d0

234955728 has 240 divisors, whose sum is σ = 796199040. Its totient is φ = 65691648.

The previous prime is 234955723. The next prime is 234955733. The reversal of 234955728 is 827559432.

It is an interprime number because it is at equal distance from previous prime (234955723) and next prime (234955733).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (604800) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234955723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422176 + ... + 2422272.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2234955728 is an apocalyptic number.

234955728 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 234955728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398099520).

234955728 is an abundant number, since it is smaller than the sum of its proper divisors (561243312).

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

234955728 is an equidigital number, since it uses as much as digits as its factorization.

234955728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 234955728 is about 15328.2656553180. The cubic root of 234955728 is about 617.0618246782.

The spelling of 234955728 in words is "two hundred thirty-four million, nine hundred fifty-five thousand, seven hundred twenty-eight".