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10233205350 = 23522912171933
BaseRepresentation
bin10011000011111001…
…00101001001100110
3222102011120200201120
421201330211021212
5131424200032400
64411233034410
7511405544634
oct114174451146
928364520646
1010233205350
114381417705
121b970b5a06
13c710cc6c4
146d110a354
153ed5c5ca0
hex261f25266

10233205350 has 96 divisors (see below), whose sum is σ = 26288629920. Its totient is φ = 2631229440.

The previous prime is 10233205343. The next prime is 10233205357. The reversal of 10233205350 is 5350233201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10233205343) and next prime (10233205357).

It is a self number, because there is not a number n which added to its sum of digits gives 10233205350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233205357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5292984 + ... + 5294916.

It is an arithmetic number, because the mean of its divisors is an integer number (273839895).

Almost surely, 210233205350 is an apocalyptic number.

10233205350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233205350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144314960).

10233205350 is an abundant number, since it is smaller than the sum of its proper divisors (16055424570).

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

10233205350 is a wasteful number, since it uses less digits than its factorization.

10233205350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 10233205350 its reverse (5350233201), we get a palindrome (15583438551).

The spelling of 10233205350 in words is "ten billion, two hundred thirty-three million, two hundred five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 1217 1450 1933 2175 2434 3651 3866 4350 5799 6085 7302 9665 11598 12170 18255 19330 28995 30425 35293 36510 48325 56057 57990 60850 70586 91275 96650 105879 112114 144975 168171 176465 182550 211758 280285 289950 336342 352930 529395 560570 840855 882325 1058790 1401425 1681710 1764650 2352461 2646975 2802850 4204275 4704922 5293950 7057383 8408550 11762305 14114766 23524610 35286915 58811525 68221369 70573830 117623050 136442738 176434575 204664107 341106845 352869150 409328214 682213690 1023320535 1705534225 2046641070 3411068450 5116602675 10233205350