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2123033200 = 245244311981
BaseRepresentation
bin111111010001010…
…1110101001110000
312110221212021001021
41332202232221300
513321444030300
6550355545224
7103416325111
oct17642565160
95427767037
102123033200
1199a4402a2
124b2bbb214
1327aac3a82
14161d64208
15c65b6d1a
hex7e8aea70

2123033200 has 60 divisors (see below), whose sum is σ = 5112527688. Its totient is φ = 847225600.

The previous prime is 2123033173. The next prime is 2123033257. The reversal of 2123033200 is 23303212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171210 + ... + 183190.

Almost surely, 22123033200 is an apocalyptic number.

2123033200 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 2123033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556263844).

2123033200 is an abundant number, since it is smaller than the sum of its proper divisors (2989494488).

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

2123033200 is a wasteful number, since it uses less digits than its factorization.

2123033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442 (or 12431 counting only the distinct ones).

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

The square root of 2123033200 is about 46076.3844067653. The cubic root of 2123033200 is about 1285.2440300217.

Adding to 2123033200 its reverse (23303212), we get a palindrome (2146336412).

The spelling of 2123033200 in words is "two billion, one hundred twenty-three million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 443 886 1772 2215 3544 4430 7088 8860 11075 11981 17720 22150 23962 35440 44300 47924 59905 88600 95848 119810 177200 191696 239620 299525 479240 599050 958480 1198100 2396200 4792400 5307583 10615166 21230332 26537915 42460664 53075830 84921328 106151660 132689575 212303320 265379150 424606640 530758300 1061516600 2123033200