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225464052 = 223116128001
BaseRepresentation
bin11010111000001…
…00111011110100
3120201020202112110
431130010323310
5430204322202
634212251020
75405261412
oct1534047364
9521222473
10225464052
111062a5530
1263610a70
13379317a8
1421d302b2
1514bd926c
hexd704ef4

225464052 has 48 divisors (see below), whose sum is σ = 583337664. Its totient is φ = 67200000.

The previous prime is 225464021. The next prime is 225464053. The reversal of 225464052 is 250464522.

It is a happy number.

225464052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225464053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5949 + ... + 22052.

It is an arithmetic number, because the mean of its divisors is an integer number (12152868).

Almost surely, 2225464052 is an apocalyptic number.

225464052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225464052 is an abundant number, since it is smaller than the sum of its proper divisors (357873612).

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

225464052 is a wasteful number, since it uses less digits than its factorization.

225464052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28080 (or 28078 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 225464052 is about 15015.4604325009. The cubic root of 225464052 is about 608.6380543462.

The spelling of 225464052 in words is "two hundred twenty-five million, four hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 28001 56002 84003 112004 168006 308011 336012 616022 924033 1232044 1708061 1848066 3416122 3696132 5124183 6832244 10248366 18788671 20496732 37577342 56366013 75154684 112732026 225464052