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2002323233200 = 2452171027128669
BaseRepresentation
bin11101001000110011110…
…000111101100110110000
321002102100100102022210011
4131020303300331212300
5230301224221430300
64131504331544304
7264443302442503
oct35106360754660
97072310368704
102002323233200
117021a92a0324
12284091bbb094
13116a83982484
146ccad24913a
1537141e3ceba
hex1d233c3d9b0

2002323233200 has 120 divisors (see below), whose sum is σ = 5094230555520. Its totient is φ = 753716121600.

The previous prime is 2002323233179. The next prime is 2002323233203. The reversal of 2002323233200 is 23323232002.

It is not an unprimeable number, because it can be changed into a prime (2002323233203) 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, 69828466 + ... + 69857134.

It is an arithmetic number, because the mean of its divisors is an integer number (42451921296).

Almost surely, 22002323233200 is an apocalyptic number.

2002323233200 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 2002323233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547115277760).

2002323233200 is an abundant number, since it is smaller than the sum of its proper divisors (3091907322320).

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

2002323233200 is a wasteful number, since it uses less digits than its factorization.

2002323233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38975 (or 38964 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 2002323233200 its reverse (23323232002), we get a palindrome (2025646465202).

The spelling of 2002323233200 in words is "two trillion, two billion, three hundred twenty-three million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 10271 20542 28669 41084 51355 57338 82168 102710 114676 143345 164336 174607 205420 229352 256775 286690 349214 410840 458704 487373 513550 573380 698428 716725 821680 873035 974746 1027100 1146760 1396856 1433450 1746070 1949492 2054200 2293520 2436865 2793712 2866900 3492140 3898984 4108400 4365175 4873730 5733800 6984280 7797968 8730350 9747460 11467600 12184325 13968560 17460700 19494920 24368650 34921400 38989840 48737300 69842800 97474600 194949200 294459299 588918598 1177837196 1472296495 2355674392 2944592990 4711348784 5005808083 5889185980 7361482475 10011616166 11778371960 14722964950 20023232332 23556743920 25029040415 29445929900 40046464664 50058080830 58891859800 80092929328 100116161660 117783719600 125145202075 200232323320 250290404150 400464646640 500580808300 1001161616600 2002323233200