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225375282 = 232111318689
BaseRepresentation
bin11010110111011…
…11010000110010
3120201002020202200
431123233100302
5430144002112
634210324030
75404441536
oct1533572062
9521066680
10225375282
11106244870
1263589616
1337900272
1421d09bc6
1514bbccdc
hexd6ef432

225375282 has 48 divisors (see below), whose sum is σ = 536833440. Its totient is φ = 67766400.

The previous prime is 225375281. The next prime is 225375313. The reversal of 225375282 is 282573522.

It is a happy number.

225375282 is a `hidden beast` number, since 2 + 2 + 5 + 375 + 282 = 666.

It is not an unprimeable number, because it can be changed into a prime (225375281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21594 + ... + 30282.

It is an arithmetic number, because the mean of its divisors is an integer number (11184030).

Almost surely, 2225375282 is an apocalyptic number.

225375282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225375282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268416720).

225375282 is an abundant number, since it is smaller than the sum of its proper divisors (311458158).

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

225375282 is a wasteful number, since it uses less digits than its factorization.

225375282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8836 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 225375282 is about 15012.5041881759. The cubic root of 225375282 is about 608.5581659384.

The spelling of 225375282 in words is "two hundred twenty-five million, three hundred seventy-five thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 8689 12969 17378 25938 26067 52134 78201 95579 156402 191158 286737 573474 860211 1138259 1720422 2276518 3414777 6829554 10244331 12520849 20488662 25041698 37562547 75125094 112687641 225375282