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200023201200 = 24352280359467
BaseRepresentation
bin1011101001001001001…
…1111101010110110000
3201010021221221102120010
42322102103331112300
511234121414414300
6231520035214520
720310522104664
oct2722223752660
9633257842503
10200023201200
1177913978649
1232923447440
1315b290836b4
1499772008a4
15530a508a50
hex2e924fd5b0

200023201200 has 120 divisors (see below), whose sum is σ = 640980357568. Its totient is φ = 53319594240.

The previous prime is 200023201159. The next prime is 200023201201. The reversal of 200023201200 is 2102320002.

200023201200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200023201201) 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, 3333867 + ... + 3393333.

Almost surely, 2200023201200 is an apocalyptic number.

200023201200 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 200023201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320490178784).

200023201200 is an abundant number, since it is smaller than the sum of its proper divisors (440957156368).

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

200023201200 is a wasteful number, since it uses less digits than its factorization.

200023201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62291 (or 62280 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 200023201200 its reverse (2102320002), we get a palindrome (202125521202).

The spelling of 200023201200 in words is "two hundred billion, twenty-three million, two hundred one 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 2803 5606 8409 11212 14015 16818 22424 28030 33636 42045 44848 56060 59467 67272 70075 84090 112120 118934 134544 140150 168180 178401 210225 224240 237868 280300 297335 336360 356802 420450 475736 560600 594670 672720 713604 840900 892005 951472 1121200 1189340 1427208 1486675 1681800 1784010 2378680 2854416 2973350 3363600 3568020 4460025 4757360 5946700 7136040 8920050 11893400 14272080 17840100 23786800 35680200 71360400 166686001 333372002 500058003 666744004 833430005 1000116006 1333488008 1666860010 2000232012 2500290015 2666976016 3333720020 4000464024 4167150025 5000580030 6667440040 8000928048 8334300050 10001160060 12501450075 13334880080 16668600100 20002320120 25002900150 33337200200 40004640240 50005800300 66674400400 100011600600 200023201200