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4554225225 = 32521124092
BaseRepresentation
bin1000011110111001…
…11111011001001001
3102202101120121112100
410033130333121021
533311340201400
62031524504013
7220600163364
oct41734773111
912671517470
104554225225
111a27817900
12a7124b009
135776b1134
14312bc30db
151b9c50100
hex10f73f649

4554225225 has 81 divisors (see below), whose sum is σ = 8988069909. Its totient is φ = 2202710400.

The previous prime is 4554225191. The next prime is 4554225233. The reversal of 4554225225 is 5225224554.

The square root of 4554225225 is 67485.

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

4554225225 is a `hidden beast` number, since 4 + 5 + 5 + 422 + 5 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 522991161 + 4031234064 = 22869^2 + 63492^2 .

It is not a de Polignac number, because 4554225225 - 221 = 4552128073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4554225225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11134821 + ... + 11135229.

Almost surely, 24554225225 is an apocalyptic number.

4554225225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4554225225 is the 67485-th square number.

4554225225 is the 33743-rd centered octagonal number.

It is an amenable number.

4554225225 is a deficient number, since it is larger than the sum of its proper divisors (4433844684).

4554225225 is a wasteful number, since it uses less digits than its factorization.

4554225225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its digits is 160000, while the sum is 36.

The cubic root of 4554225225 is about 1657.5685631910.

Multiplying 4554225225 by its sum of digits (36), we get a square (163952108100 = 4049102).

Multiplying 4554225225 by its product of digits (160000), we get a square (728676036000000 = 269940002).

Adding to 4554225225 its reverse (5225224554), we get a palindrome (9779449779).

The spelling of 4554225225 in words is "four billion, five hundred fifty-four million, two hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 409 495 605 825 1089 1227 1815 2045 2475 3025 3681 4499 5445 6135 9075 10225 13497 18405 22495 27225 30675 40491 49489 67485 92025 112475 148467 167281 202455 247445 337425 445401 501843 742335 836405 1012275 1237225 1505529 1840091 2227005 2509215 3711675 4182025 5520273 7527645 9200455 11135025 12546075 16560819 20241001 27601365 37638225 46002275 60723003 82804095 101205005 138006825 182169009 303615015 414020475 506025025 910845045 1518075075 4554225225