Search a number
-
+
13224033200 = 245274722869
BaseRepresentation
bin11000101000011011…
…01011101110110000
31021010121100111020102
430110031223232300
5204040323030300
610024112531532
7645463266440
oct142415535660
937117314212
1013224033200
115676692964
122690850ba8
131329922121
148d6406120
15525e570d5
hex31436bbb0

13224033200 has 60 divisors (see below), whose sum is σ = 36309424560. Its totient is φ = 4533953280.

The previous prime is 13224033191. The next prime is 13224033203. The reversal of 13224033200 is 233042231.

13224033200 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 (20).

It is not an unprimeable number, because it can be changed into a prime (13224033203) by changing a digit.

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, 2358635 + ... + 2364234.

It is an arithmetic number, because the mean of its divisors is an integer number (605157076).

Almost surely, 213224033200 is an apocalyptic number.

13224033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13224033200 is an abundant number, since it is smaller than the sum of its proper divisors (23085391360).

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

13224033200 is a wasteful number, since it uses less digits than its factorization.

13224033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722894 (or 4722883 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13224033200 its reverse (233042231), we get a palindrome (13457075431).

The spelling of 13224033200 in words is "thirteen billion, two hundred twenty-four million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4722869 9445738 18891476 23614345 33060083 37782952 47228690 66120166 75565904 94457380 118071725 132240332 165300415 188914760 236143450 264480664 330600830 377829520 472286900 528961328 661201660 826502075 944573800 1322403320 1653004150 1889147600 2644806640 3306008300 6612016600 13224033200