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234935500 = 2253677013
BaseRepresentation
bin11100000000011…
…01010011001100
3121101001221220211
432000031103030
5440120414000
635151252204
75551630102
oct1600152314
9541057824
10234935500
11110684578
126681a064
13398998b7
14232b7c72
151595a7ba
hexe00d4cc

234935500 has 48 divisors (see below), whose sum is σ = 520831584. Its totient is φ = 92558400.

The previous prime is 234935497. The next prime is 234935507. The reversal of 234935500 is 5539432.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (234935507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29994 + ... + 37006.

It is an arithmetic number, because the mean of its divisors is an integer number (10850658).

Almost surely, 2234935500 is an apocalyptic number.

234935500 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 234935500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260415792).

234935500 is an abundant number, since it is smaller than the sum of its proper divisors (285896084).

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

234935500 is a wasteful number, since it uses less digits than its factorization.

234935500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 234935500 is about 15327.6058143469. The cubic root of 234935500 is about 617.0441159735.

The spelling of 234935500 in words is "two hundred thirty-four million, nine hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 125 134 250 268 335 500 670 1340 1675 3350 6700 7013 8375 14026 16750 28052 33500 35065 70130 140260 175325 350650 469871 701300 876625 939742 1753250 1879484 2349355 3506500 4698710 9397420 11746775 23493550 46987100 58733875 117467750 234935500