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2123004200 = 2352171673739
BaseRepresentation
bin111111010001010…
…0111100100101000
312110221210210021012
41332202213210220
513321442113300
6550355203052
7103416144422
oct17642474450
95427723235
102123004200
1199a420529
124b2ba6488
1327aab3805
14161d57812
15c65ad435
hex7e8a7928

2123004200 has 96 divisors (see below), whose sum is σ = 5259038400. Its totient is φ = 794250240.

The previous prime is 2123004181. The next prime is 2123004203. The reversal of 2123004200 is 24003212.

It is not an unprimeable number, because it can be changed into a prime (2123004203) 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, 565931 + ... + 569669.

It is an arithmetic number, because the mean of its divisors is an integer number (54781650).

Almost surely, 22123004200 is an apocalyptic number.

2123004200 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 2123004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629519200).

2123004200 is an abundant number, since it is smaller than the sum of its proper divisors (3136034200).

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

2123004200 is a wasteful number, since it uses less digits than its factorization.

2123004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2123004200 is about 46076.0697108597. The cubic root of 2123004200 is about 1285.2381779784.

Adding to 2123004200 its reverse (24003212), we get a palindrome (2147007412).

The spelling of 2123004200 in words is "two billion, one hundred twenty-three million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 167 170 200 334 340 425 668 680 835 850 1336 1670 1700 2839 3340 3400 3739 4175 5678 6680 7478 8350 11356 14195 14956 16700 18695 22712 28390 29912 33400 37390 56780 63563 70975 74780 93475 113560 127126 141950 149560 186950 254252 283900 317815 373900 508504 567800 624413 635630 747800 1248826 1271260 1589075 2497652 2542520 3122065 3178150 4995304 6244130 6356300 10615021 12488260 12712600 15610325 21230042 24976520 31220650 42460084 53075105 62441300 84920168 106150210 124882600 212300420 265375525 424600840 530751050 1061502100 2123004200