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2123204200 = 2352133132609
BaseRepresentation
bin111111010001101…
…1000011001101000
312110222011221121121
41332203120121220
513322020013300
6550403345024
7103420636465
oct17643303150
95428157547
102123204200
1199a547817
124b3082174
1327ab53860
14161daa66c
15c65ec81a
hex7e8d8668

2123204200 has 96 divisors (see below), whose sum is σ = 5335205400. Its totient is φ = 781148160.

The previous prime is 2123204183. The next prime is 2123204207. The reversal of 2123204200 is 24023212.

It can be written as a sum of positive squares in 12 ways, for example, as 193710724 + 1929493476 = 13918^2 + 43926^2 .

It is not an unprimeable number, because it can be changed into a prime (2123204207) 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, 812496 + ... + 815104.

Almost surely, 22123204200 is an apocalyptic number.

2123204200 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 2123204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667602700).

2123204200 is an abundant number, since it is smaller than the sum of its proper divisors (3212001200).

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

2123204200 is a wasteful number, since it uses less digits than its factorization.

2123204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2123204200 is about 46078.2399837494. The cubic root of 2123204200 is about 1285.2785358141.

Adding to 2123204200 its reverse (24023212), we get a palindrome (2147227412).

The spelling of 2123204200 in words is "two billion, one hundred twenty-three million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 313 325 520 626 650 1252 1300 1565 2504 2600 2609 3130 4069 5218 6260 7825 8138 10436 12520 13045 15650 16276 20345 20872 26090 31300 32552 33917 40690 52180 62600 65225 67834 81380 101725 104360 130450 135668 162760 169585 203450 260900 271336 339170 406900 521800 678340 813800 816617 847925 1356680 1633234 1695850 3266468 3391700 4083085 6532936 6783400 8166170 10616021 16332340 20415425 21232042 32664680 40830850 42464084 53080105 81661700 84928168 106160210 163323400 212320420 265400525 424640840 530801050 1061602100 2123204200