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234422800 = 2452586057
BaseRepresentation
bin11011111100100…
…00001000010000
3121100002220121221
431332100020100
5440003012200
635132254424
75544363253
oct1576201020
9540086557
10234422800
11110364357
1266611414
133974a421
14231c309a
15158a891a
hexdf90210

234422800 has 30 divisors (see below), whose sum is σ = 563201738. Its totient is φ = 93768960.

The previous prime is 234422791. The next prime is 234422801. The reversal of 234422800 is 8224432.

It can be written as a sum of positive squares in 3 ways, for example, as 3504384 + 230918416 = 1872^2 + 15196^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (234422801) 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 5 ways as a sum of consecutive naturals, for example, 292629 + ... + 293428.

Almost surely, 2234422800 is an apocalyptic number.

234422800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234422800 is an abundant number, since it is smaller than the sum of its proper divisors (328778938).

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

234422800 is a wasteful number, since it uses less digits than its factorization.

234422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586075 (or 586064 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 234422800 is about 15310.8719542683. The cubic root of 234422800 is about 616.5949303778.

The spelling of 234422800 in words is "two hundred thirty-four million, four hundred twenty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 586057 1172114 2344228 2930285 4688456 5860570 9376912 11721140 14651425 23442280 29302850 46884560 58605700 117211400 234422800