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293225 = 5237317
BaseRepresentation
bin1000111100101101001
3112220020012
41013211221
533340400
610141305
72330612
oct1074551
9486205
10293225
11190339
12121835
13a360a
1478c09
155bd35
hex47969

293225 has 12 divisors (see below), whose sum is σ = 374604. Its totient is φ = 227520.

The previous prime is 293221. The next prime is 293257. The reversal of 293225 is 522392.

It can be written as a sum of positive squares in 6 ways, for example, as 10201 + 283024 = 101^2 + 532^2 .

It is not a de Polignac number, because 293225 - 22 = 293221 is a prime.

It is a d-powerful number, because it can be written as 213 + 92 + 217 + 39 + 217 + 55 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 293225.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293225.

It is not an unprimeable number, because it can be changed into a prime (293221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (31217).

2293225 is an apocalyptic number.

293225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

293225 is a deficient number, since it is larger than the sum of its proper divisors (81379).

293225 is a wasteful number, since it uses less digits than its factorization.

293225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 293225 is about 541.5025392369. The cubic root of 293225 is about 66.4355189316.

The spelling of 293225 in words is "two hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 317 925 1585 7925 11729 58645 293225