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55185057225 = 3252156612
BaseRepresentation
bin110011011001010010…
…010010010111001001
312021102221102100222100
4303121102102113021
51401004333312400
641203543144013
73662352150444
oct633122222711
9167387370870
1055185057225
1121449587311
12a841445009
13528605331c
14295720465b
15167eba3100
hexcd94925c9

55185057225 has 27 divisors (see below), whose sum is σ = 98848880949. Its totient is φ = 29430151200.

The previous prime is 55185057089. The next prime is 55185057241. The reversal of 55185057225 is 52275058155.

The square root of 55185057225 is 234915.

It is a perfect power (a square), and thus also a powerful number.

55185057225 is a `hidden beast` number, since 5 + 5 + 1 + 8 + 50 + 572 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14957534601 + 40227522624 = 122301^2 + 200568^2 .

It is not a de Polignac number, because 55185057225 - 213 = 55185049033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 26 ways as a sum of consecutive naturals, for example, 3515895 + ... + 3531555.

Almost surely, 255185057225 is an apocalyptic number.

55185057225 is the 234915-th square number.

55185057225 is the 117458-th centered octagonal number.

It is an amenable number.

55185057225 is a deficient number, since it is larger than the sum of its proper divisors (43663823724).

55185057225 is an frugal number, since it uses more digits than its factorization.

55185057225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31338 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 700000, while the sum is 45.

The spelling of 55185057225 in words is "fifty-five billion, one hundred eighty-five million, fifty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 15661 46983 78305 140949 234915 391525 704745 1174575 3523725 245266921 735800763 1226334605 2207402289 3679003815 6131673025 11037011445 18395019075 55185057225