[go: up one dir, main page]

Search a number
-
+
4133200200 = 233526888667
BaseRepresentation
bin1111011001011011…
…1010000101001000
3101200001100022202220
43312112322011020
531431044401300
61522044454040
7204265423233
oct36626720510
911601308686
104133200200
1118310a1538
1297424a320
1350b3ba9bc
142b2d0841a
15192cd6da0
hexf65ba148

4133200200 has 48 divisors (see below), whose sum is σ = 12812922480. Its totient is φ = 1102186560.

The previous prime is 4133200151. The next prime is 4133200231. The reversal of 4133200200 is 20023314.

4133200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4133200200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3443734 + ... + 3444933.

It is an arithmetic number, because the mean of its divisors is an integer number (266935885).

Almost surely, 24133200200 is an apocalyptic number.

4133200200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133200200 is an abundant number, since it is smaller than the sum of its proper divisors (8679722280).

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

4133200200 is a wasteful number, since it uses less digits than its factorization.

4133200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888686 (or 6888677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4133200200 is about 64289.9696686816. The cubic root of 4133200200 is about 1604.8291857306.

Adding to 4133200200 its reverse (20023314), we get a palindrome (4153223514).

The spelling of 4133200200 in words is "four billion, one hundred thirty-three million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6888667 13777334 20666001 27554668 34443335 41332002 55109336 68886670 82664004 103330005 137773340 165328008 172216675 206660010 275546680 344433350 413320020 516650025 688866700 826640040 1033300050 1377733400 2066600100 4133200200