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234226000 = 245317832
BaseRepresentation
bin11011111011000…
…00000101010000
3121022201220200001
431331200011100
5434430213000
635124135344
75542613431
oct1575400520
9538656601
10234226000
1111023a508
1266537554
13396ab988
1423171488
151586a46a
hexdf60150

234226000 has 120 divisors (see below), whose sum is σ = 606985704. Its totient is φ = 87116800.

The previous prime is 234225991. The next prime is 234226001. The reversal of 234226000 is 622432.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 233233984 = 996^2 + 15272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234226001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821959 + ... + 2822041.

Almost surely, 2234226000 is an apocalyptic number.

234226000 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 234226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303492852).

234226000 is an abundant number, since it is smaller than the sum of its proper divisors (372759704).

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

234226000 is an equidigital number, since it uses as much as digits as its factorization.

234226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 234226000 is about 15304.4437991062. The cubic root of 234226000 is about 616.4223364505.

Adding to 234226000 its reverse (622432), we get a palindrome (234848432).

The spelling of 234226000 in words is "two hundred thirty-four million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 83 85 100 125 136 166 170 200 250 272 332 340 400 415 425 500 664 680 830 850 1000 1328 1360 1411 1660 1700 2000 2075 2125 2822 3320 3400 4150 4250 5644 6640 6800 6889 7055 8300 8500 10375 11288 13778 14110 16600 17000 20750 22576 27556 28220 33200 34000 34445 35275 41500 55112 56440 68890 70550 83000 110224 112880 117113 137780 141100 166000 172225 176375 234226 275560 282200 344450 352750 468452 551120 564400 585565 688900 705500 861125 936904 1171130 1377800 1411000 1722250 1873808 2342260 2755600 2822000 2927825 3444500 4684520 5855650 6889000 9369040 11711300 13778000 14639125 23422600 29278250 46845200 58556500 117113000 234226000