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20228461 = 1131137433
BaseRepresentation
bin100110100101…
…0100101101101
31102001201020021
41031022211231
520134302321
62001322141
7333640051
oct115124555
942051207
1020228461
1110466a40
126936351
134263406
142987c61
151b98941
hex134a96d

20228461 has 16 divisors (see below), whose sum is σ = 22998528. Its totient is φ = 17625600.

The previous prime is 20228449. The next prime is 20228489. The reversal of 20228461 is 16482202.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20228461 - 27 = 20228333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20228161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46501 + ... + 46933.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 220228461 is an apocalyptic number.

It is an amenable number.

20228461 is a deficient number, since it is larger than the sum of its proper divisors (2770067).

20228461 is a wasteful number, since it uses less digits than its factorization.

20228461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20228461 is about 4497.6061410488. The cubic root of 20228461 is about 272.4714152324.

The spelling of 20228461 in words is "twenty million, two hundred twenty-eight thousand, four hundred sixty-one".

Divisors: 1 11 31 137 341 433 1507 4247 4763 13423 46717 59321 147653 652531 1838951 20228461