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234145200 = 24352195121
BaseRepresentation
bin11011111010011…
…00010110110000
3121022120210211110
431331030112300
5434420121300
635122313320
75542126032
oct1575142660
9538523743
10234145200
11110194833
12664b8840
1339680c73
142314dc52
1515851550
hexdf4c5b0

234145200 has 60 divisors (see below), whose sum is σ = 750048968. Its totient is φ = 62438400.

The previous prime is 234145187. The next prime is 234145229. The reversal of 234145200 is 2541432.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96361 + ... + 98760.

Almost surely, 2234145200 is an apocalyptic number.

234145200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234145200 is an abundant number, since it is smaller than the sum of its proper divisors (515903768).

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

234145200 is a wasteful number, since it uses less digits than its factorization.

234145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195142 (or 195131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 234145200 is about 15301.8038152369. The cubic root of 234145200 is about 616.3514467213.

Adding to 234145200 its reverse (2541432), we get a palindrome (236686632).

The spelling of 234145200 in words is "two hundred thirty-four million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 195121 390242 585363 780484 975605 1170726 1560968 1951210 2341452 2926815 3121936 3902420 4682904 4878025 5853630 7804840 9365808 9756050 11707260 14634075 15609680 19512100 23414520 29268150 39024200 46829040 58536300 78048400 117072600 234145200