Search a number
-
+
22624116225 = 352476418189
BaseRepresentation
bin10101000100100000…
…001001111000000001
32011101201021011222120
4111010200021320001
5332313233204400
614220545154453
71430434546344
oct250440117001
964351234876
1022624116225
11965a7a6417
12447492ba29
132197242729
141148a0445b
158c6311ca0
hex544809e01

22624116225 has 24 divisors (see below), whose sum is σ = 38201066880. Its totient is φ = 11809465920.

The previous prime is 22624116209. The next prime is 22624116299. The reversal of 22624116225 is 52261142622.

It is not a de Polignac number, because 22624116225 - 24 = 22624116209 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3205570 + ... + 3212619.

It is an arithmetic number, because the mean of its divisors is an integer number (1591711120).

Almost surely, 222624116225 is an apocalyptic number.

22624116225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22624116225 is a deficient number, since it is larger than the sum of its proper divisors (15576950655).

22624116225 is a wasteful number, since it uses less digits than its factorization.

22624116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418249 (or 6418244 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

Adding to 22624116225 its reverse (52261142622), we get a palindrome (74885258847).

The spelling of 22624116225 in words is "twenty-two billion, six hundred twenty-four million, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 141 235 705 1175 3525 6418189 19254567 32090945 96272835 160454725 301654883 481364175 904964649 1508274415 4524823245 7541372075 22624116225