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2123303200 = 255219163857
BaseRepresentation
bin111111010001111…
…0000100100100000
312110222100222102021
41332203300210200
513322031200300
6550405431224
7103421531224
oct17643604440
95428328367
102123303200
1199a605137
124b310b514
1327ab89935
14161dd4784
15c661bd1a
hex7e8f0920

2123303200 has 144 divisors (see below), whose sum is σ = 5496210720. Its totient is φ = 798750720.

The previous prime is 2123303183. The next prime is 2123303227. The reversal of 2123303200 is 23033212.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2477172 + ... + 2478028.

It is an arithmetic number, because the mean of its divisors is an integer number (38168130).

Almost surely, 22123303200 is an apocalyptic number.

2123303200 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 2123303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748105360).

2123303200 is an abundant number, since it is smaller than the sum of its proper divisors (3372907520).

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

2123303200 is a wasteful number, since it uses less digits than its factorization.

2123303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2123303200 is about 46079.3142310083. The cubic root of 2123303200 is about 1285.2985120050.

Adding to 2123303200 its reverse (23033212), we get a palindrome (2146336412).

The spelling of 2123303200 in words is "two billion, one hundred twenty-three million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 163 190 200 304 326 380 400 475 608 652 760 800 815 857 950 1304 1520 1630 1714 1900 2608 3040 3097 3260 3428 3800 4075 4285 5216 6194 6520 6856 7600 8150 8570 12388 13040 13712 15200 15485 16283 16300 17140 21425 24776 26080 27424 30970 32566 32600 34280 42850 49552 61940 65132 65200 68560 77425 81415 85700 99104 123880 130264 130400 137120 139691 154850 162830 171400 247760 260528 279382 309700 325660 342800 407075 495520 521056 558764 619400 651320 685600 698455 814150 1117528 1238800 1302640 1396910 1628300 2235056 2477600 2605280 2654129 2793820 3256600 3492275 4470112 5308258 5587640 6513200 6984550 10616516 11175280 13026400 13270645 13969100 21233032 22350560 26541290 27938200 42466064 53082580 55876400 66353225 84932128 106165160 111752800 132706450 212330320 265412900 424660640 530825800 1061651600 2123303200