Search a number
-
+
2050144224 = 25321355669
BaseRepresentation
bin111101000110010…
…1011011111100000
312021212201010011120
41322030223133200
513144314103344
6535233412240
7101542636602
oct17214533740
95255633146
102050144224
11962286777
1249270a080
132689832bb
141563cd172
15beeba219
hex7a32b7e0

2050144224 has 24 divisors (see below), whose sum is σ = 5381628840. Its totient is φ = 683381376.

The previous prime is 2050144219. The next prime is 2050144253. The reversal of 2050144224 is 4224410502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2050144194 and 2050144203.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10677739 + ... + 10677930.

It is an arithmetic number, because the mean of its divisors is an integer number (224234535).

Almost surely, 22050144224 is an apocalyptic number.

2050144224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2050144224 is an abundant number, since it is smaller than the sum of its proper divisors (3331484616).

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

2050144224 is a wasteful number, since it uses less digits than its factorization.

2050144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21355682 (or 21355674 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2050144224 is about 45278.5183503171. The cubic root of 2050144224 is about 1270.3638827510.

Adding to 2050144224 its reverse (4224410502), we get a palindrome (6274554726).

The spelling of 2050144224 in words is "two billion, fifty million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 21355669 42711338 64067007 85422676 128134014 170845352 256268028 341690704 512536056 683381408 1025072112 2050144224