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20224305 = 3251726437
BaseRepresentation
bin100110100100…
…1100100110001
31102001111112100
41031021210301
520134134210
62001251013
7333621663
oct115114461
942044470
1020224305
1110463902
126933a69
13426155a
142986533
151b975c0
hex1349931

20224305 has 24 divisors (see below), whose sum is σ = 37118952. Its totient is φ = 10151424.

The previous prime is 20224301. The next prime is 20224327. The reversal of 20224305 is 50342202.

20224305 = T1534 + T1535 + ... + T1550.

It can be written as a sum of positive squares in 4 ways, for example, as 7436529 + 12787776 = 2727^2 + 3576^2 .

It is not a de Polignac number, because 20224305 - 22 = 20224301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20224301) by changing a digit.

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, 12454 + ... + 13983.

It is an arithmetic number, because the mean of its divisors is an integer number (1546623).

Almost surely, 220224305 is an apocalyptic number.

It is an amenable number.

20224305 is a deficient number, since it is larger than the sum of its proper divisors (16894647).

20224305 is a wasteful number, since it uses less digits than its factorization.

20224305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26465 (or 26462 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20224305 is about 4497.1440937555. The cubic root of 20224305 is about 272.4527539221.

Adding to 20224305 its reverse (50342202), we get a palindrome (70566507).

The spelling of 20224305 in words is "twenty million, two hundred twenty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 26437 79311 132185 237933 396555 449429 1189665 1348287 2247145 4044861 6741435 20224305