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55456225 = 5211421479
BaseRepresentation
bin1101001110001…
…1000111100001
310212100110122021
43103203013201
5103144044400
65300341441
71242240646
oct323430741
9125313567
1055456225
11293380a0
12166a4881
13b648a46
147517dcd
154d0671a
hex34e31e1

55456225 has 24 divisors (see below), whose sum is σ = 75352320. Its totient is φ = 40152000.

The previous prime is 55456223. The next prime is 55456249. The reversal of 55456225 is 52265455.

55456225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55456225 - 21 = 55456223 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55456223) 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 23 ways as a sum of consecutive naturals, for example, 115536 + ... + 116014.

It is an arithmetic number, because the mean of its divisors is an integer number (3139680).

Almost surely, 255456225 is an apocalyptic number.

55456225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55456225 is a deficient number, since it is larger than the sum of its proper divisors (19896095).

55456225 is a wasteful number, since it uses less digits than its factorization.

55456225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its digits is 60000, while the sum is 34.

The square root of 55456225 is about 7446.8936476896. The cubic root of 55456225 is about 381.3438683136.

The spelling of 55456225 in words is "fifty-five million, four hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 275 421 479 2105 2395 4631 5269 10525 11975 23155 26345 115775 131725 201659 1008295 2218249 5041475 11091245 55456225