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232202213000 = 23531513075009
BaseRepresentation
bin1101100001000001010…
…1001001011010001000
3211012100120102121011222
43120100111021122020
512301022231304000
6254401111141212
722530121146632
oct3302025113210
9735316377158
10232202213000
118a52710647a
1239004074808
1318b86a0bc94
14b34abc1a52
1560905a5a85
hex3610549688

232202213000 has 128 divisors (see below), whose sum is σ = 548842694400. Its totient is φ = 91946880000.

The previous prime is 232202212997. The next prime is 232202213003. The reversal of 232202213000 is 312202232.

It is an interprime number because it is at equal distance from previous prime (232202212997) and next prime (232202213003).

It is a self number, because there is not a number n which added to its sum of digits gives 232202213000.

It is not an unprimeable number, because it can be changed into a prime (232202213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46354496 + ... + 46359504.

It is an arithmetic number, because the mean of its divisors is an integer number (4287833550).

Almost surely, 2232202213000 is an apocalyptic number.

232202213000 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 232202213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274421347200).

232202213000 is an abundant number, since it is smaller than the sum of its proper divisors (316640481400).

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

232202213000 is a wasteful number, since it uses less digits than its factorization.

232202213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 232202213000 its reverse (312202232), we get a palindrome (232514415232).

The spelling of 232202213000 in words is "two hundred thirty-two billion, two hundred two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 307 500 604 614 755 1000 1208 1228 1510 1535 2456 3020 3070 3775 5009 6040 6140 7550 7675 10018 12280 15100 15350 18875 20036 25045 30200 30700 37750 38375 40072 46357 50090 61400 75500 76750 92714 100180 125225 151000 153500 185428 200360 231785 250450 307000 370856 463570 500900 626125 756359 927140 1001800 1158925 1252250 1512718 1537763 1854280 2317850 2504500 3025436 3075526 3781795 4635700 5009000 5794625 6050872 6151052 7563590 7688815 9271400 11589250 12302104 15127180 15377630 18908975 23178500 30254360 30755260 37817950 38444075 46357000 61510520 75635900 76888150 94544875 151271800 153776300 189089750 192220375 232202213 307552600 378179500 384440750 464404426 756359000 768881500 928808852 1161011065 1537763000 1857617704 2322022130 4644044260 5805055325 9288088520 11610110650 23220221300 29025276625 46440442600 58050553250 116101106500 232202213000