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23230021200 = 24352151128201
BaseRepresentation
bin10101101000100111…
…011111111001010000
32012221221101100100120
4111220213133321100
5340033341134300
614401031550240
71451442631221
oct255047377120
965857340316
1023230021200
119940817831
12460382b380
132262927c99
1411a5287248
1590e5e93a0
hex5689dfe50

23230021200 has 120 divisors (see below), whose sum is σ = 74906890176. Its totient is φ = 6153600000.

The previous prime is 23230021163. The next prime is 23230021201. The reversal of 23230021200 is 212003232.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23230021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23230021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117100 + ... + 245300.

Almost surely, 223230021200 is an apocalyptic number.

23230021200 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 23230021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37453445088).

23230021200 is an abundant number, since it is smaller than the sum of its proper divisors (51676868976).

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

23230021200 is a wasteful number, since it uses less digits than its factorization.

23230021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128373 (or 128362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23230021200 its reverse (212003232), we get a palindrome (23442024432).

The spelling of 23230021200 in words is "twenty-three billion, two hundred thirty million, twenty-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 80 100 120 150 151 200 240 300 302 400 453 600 604 755 906 1200 1208 1510 1812 2265 2416 3020 3624 3775 4530 6040 7248 7550 9060 11325 12080 15100 18120 22650 30200 36240 45300 60400 90600 128201 181200 256402 384603 512804 641005 769206 1025608 1282010 1538412 1923015 2051216 2564020 3076824 3205025 3846030 5128040 6153648 6410050 7692060 9615075 10256080 12820100 15384120 19230150 19358351 25640200 30768240 38460300 38716702 51280400 58075053 76920600 77433404 96791755 116150106 153841200 154866808 193583510 232300212 290375265 309733616 387167020 464600424 483958775 580750530 774334040 929200848 967917550 1161501060 1451876325 1548668080 1935835100 2323002120 2903752650 3871670200 4646004240 5807505300 7743340400 11615010600 23230021200