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4200204200 = 235221001021
BaseRepresentation
bin1111101001011010…
…0000011110101000
3101211201102110222112
43322112200132220
532100223013300
61532440541452
7206041101203
oct37226403650
911751373875
104200204200
1118659a6645
12992781888
1351c24a93a
142bbb8a93a
15198b1ee35
hexfa5a07a8

4200204200 has 24 divisors (see below), whose sum is σ = 9765475230. Its totient is φ = 1680081600.

The previous prime is 4200204157. The next prime is 4200204233. The reversal of 4200204200 is 24020024.

It is a happy number.

4200204200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2814726916 + 1385477284 = 53054^2 + 37222^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10500311 + ... + 10500710.

Almost surely, 24200204200 is an apocalyptic number.

4200204200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200204200 is an abundant number, since it is smaller than the sum of its proper divisors (5565271030).

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

4200204200 is a wasteful number, since it uses less digits than its factorization.

4200204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21001037 (or 21001028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4200204200 is about 64808.9824021331. The cubic root of 4200204200 is about 1613.4547933889.

Adding to 4200204200 its reverse (24020024), we get a palindrome (4224224224).

The spelling of 4200204200 in words is "four billion, two hundred million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 21001021 42002042 84004084 105005105 168008168 210010210 420020420 525025525 840040840 1050051050 2100102100 4200204200