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2133033200 = 2452411131151
BaseRepresentation
bin111111100100011…
…1000000011110000
312111122200022110122
41333020320003300
513332024030300
6551354145412
7103600324454
oct17710700360
95448608418
102133033200
119a5050461
124b6422268
1327cbb562c
14163408664
15c73dec85
hex7f2380f0

2133033200 has 120 divisors (see below), whose sum is σ = 5300660736. Its totient is φ = 824320000.

The previous prime is 2133033193. The next prime is 2133033229. The reversal of 2133033200 is 23303312.

It is a congruent number.

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, 1852625 + ... + 1853775.

Almost surely, 22133033200 is an apocalyptic number.

2133033200 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 2133033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650330368).

2133033200 is an abundant number, since it is smaller than the sum of its proper divisors (3167627536).

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

2133033200 is a wasteful number, since it uses less digits than its factorization.

2133033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2133033200 is about 46184.7723822474. The cubic root of 2133033200 is about 1287.2588067372.

Adding to 2133033200 its reverse (23303312), we get a palindrome (2156336512).

The spelling of 2133033200 in words is "two billion, one hundred thirty-three million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 113 164 200 205 226 328 400 410 452 565 656 820 904 1025 1130 1151 1640 1808 2050 2260 2302 2825 3280 4100 4520 4604 4633 5650 5755 8200 9040 9208 9266 11300 11510 16400 18416 18532 22600 23020 23165 28775 37064 45200 46040 46330 47191 57550 74128 92080 92660 94382 115100 115825 130063 185320 188764 230200 231650 235955 260126 370640 377528 460400 463300 471910 520252 650315 755056 926600 943820 1040504 1179775 1300630 1853200 1887640 2081008 2359550 2601260 3251575 3775280 4719100 5202520 5332583 6503150 9438200 10405040 10665166 13006300 18876400 21330332 26012600 26662915 42660664 52025200 53325830 85321328 106651660 133314575 213303320 266629150 426606640 533258300 1066516600 2133033200