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225545364 = 223311189853
BaseRepresentation
bin11010111000110…
…00110010010100
3120201101220002000
431130120302110
5430214422424
634214115300
75406050442
oct1534306224
9521356060
10225545364
11106350630
126364bb30
133795c7c5
1421d51b92
1514c033c9
hexd718c94

225545364 has 48 divisors (see below), whose sum is σ = 637909440. Its totient is φ = 68346720.

The previous prime is 225545347. The next prime is 225545417. The reversal of 225545364 is 463545522.

225545364 is a `hidden beast` number, since 2 + 255 + 45 + 364 = 666.

It is a super-3 number, since 3×2255453643 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 93739 + ... + 96114.

It is an arithmetic number, because the mean of its divisors is an integer number (13289780).

Almost surely, 2225545364 is an apocalyptic number.

It is an amenable number.

225545364 is an abundant number, since it is smaller than the sum of its proper divisors (412364076).

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

225545364 is a wasteful number, since it uses less digits than its factorization.

225545364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189877 (or 189869 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 225545364 is about 15018.1677977042. The cubic root of 225545364 is about 608.7112125413.

The spelling of 225545364 in words is "two hundred twenty-five million, five hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 189853 379706 569559 759412 1139118 1708677 2088383 2278236 3417354 4176766 5126031 6265149 6834708 8353532 10252062 12530298 18795447 20504124 25060596 37590894 56386341 75181788 112772682 225545364