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234131300 = 225213199479
BaseRepresentation
bin11011111010010…
…00111101100100
3121022120002202122
431331020331210
5434414200200
635122125112
75542040354
oct1575107544
9538502678
10234131300
11110185347
12664b0798
1339677840
1423148b64
151584c385
hexdf48f64

234131300 has 72 divisors (see below), whose sum is σ = 576004800. Its totient is φ = 81889920.

The previous prime is 234131267. The next prime is 234131333. The reversal of 234131300 is 3131432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (234131267) and next prime (234131333).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19961 + ... + 29439.

Almost surely, 2234131300 is an apocalyptic number.

234131300 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 234131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288002400).

234131300 is an abundant number, since it is smaller than the sum of its proper divisors (341873500).

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

234131300 is a wasteful number, since it uses less digits than its factorization.

234131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 234131300 is about 15301.3496136779. The cubic root of 234131300 is about 616.3392499382.

Adding to 234131300 its reverse (3131432), we get a palindrome (237262732).

The spelling of 234131300 in words is "two hundred thirty-four million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 9479 12350 18958 24700 37916 47395 94790 123227 180101 189580 236975 246454 360202 473950 492908 616135 720404 900505 947900 1232270 1801010 2341313 2464540 3080675 3602020 4502525 4682626 6161350 9005050 9365252 11706565 12322700 18010100 23413130 46826260 58532825 117065650 234131300