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225295452 = 22332578117
BaseRepresentation
bin11010110110110…
…11110001011100
3120200221012021000
431123123301130
5430133423302
634204510300
75403660024
oct1533336134
9520835230
10225295452
1110619a898
126354b390
13378a2b25
1421cc8a84
1514ba431c
hexd6dbc5c

225295452 has 48 divisors (see below), whose sum is σ = 586444320. Its totient is φ = 74797056.

The previous prime is 225295397. The next prime is 225295459. The reversal of 225295452 is 254592522.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225295459) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23698 + ... + 31814.

It is an arithmetic number, because the mean of its divisors is an integer number (12217590).

Almost surely, 2225295452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225295452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293222160).

225295452 is an abundant number, since it is smaller than the sum of its proper divisors (361148868).

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

225295452 is a wasteful number, since it uses less digits than its factorization.

With its successor (225295453) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (8387).

225295452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8379 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 225295452 is about 15009.8451690882. The cubic root of 225295452 is about 608.4863051513.

The spelling of 225295452 in words is "two hundred twenty-five million, two hundred ninety-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 8117 9252 13878 16234 24351 27756 32468 48702 73053 97404 146106 219159 292212 438318 876636 2086069 4172138 6258207 8344276 12516414 18774621 25032828 37549242 56323863 75098484 112647726 225295452