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45312225 = 3527175077
BaseRepresentation
bin1010110011011…
…0100011100001
310011021002200120
42230312203201
543044442400
64255110453
71060101420
oct254664341
9104232616
1045312225
1123639822
1213212429
13950678a
1460372b7
153ea0ca0
hex2b368e1

45312225 has 48 divisors (see below), whose sum is σ = 90672768. Its totient is φ = 19491840.

The previous prime is 45312221. The next prime is 45312233. The reversal of 45312225 is 52221354.

45312225 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 45312225 - 22 = 45312221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45312195 and 45312204.

It is not an unprimeable number, because it can be changed into a prime (45312221) 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 47 ways as a sum of consecutive naturals, for example, 6387 + ... + 11463.

It is an arithmetic number, because the mean of its divisors is an integer number (1889016).

Almost surely, 245312225 is an apocalyptic number.

It is an amenable number.

45312225 is an abundant number, since it is smaller than the sum of its proper divisors (45360543).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45312225 is a wasteful number, since it uses less digits than its factorization.

45312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5109 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 45312225 is about 6731.4355823999. The cubic root of 45312225 is about 356.5100655669.

Adding to 45312225 its reverse (52221354), we get a palindrome (97533579).

The spelling of 45312225 in words is "forty-five million, three hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 5077 8925 15231 25385 35539 76155 86309 106617 126925 177695 258927 380775 431545 533085 604163 888475 1294635 1812489 2157725 2665425 3020815 6473175 9062445 15104075 45312225