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225920353 = 292353761
BaseRepresentation
bin11010111011101…
…00010101100001
3120202002221110111
431131310111201
5430313422403
634230131321
75412201631
oct1535642541
9522087414
10225920353
1110658733a
12637b0b41
1337a613a9
142200c6c1
1514c7956d
hexd774561

225920353 has 12 divisors (see below), whose sum is σ = 234950508. Its totient is φ = 217226240.

The previous prime is 225920341. The next prime is 225920363. The reversal of 225920353 is 353029522.

It can be written as a sum of positive squares in 6 ways, for example, as 32626944 + 193293409 = 5712^2 + 13903^2 .

It is a de Polignac number, because none of the positive numbers 2k-225920353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225920363) 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, 296493 + ... + 297253.

It is an arithmetic number, because the mean of its divisors is an integer number (19579209).

Almost surely, 2225920353 is an apocalyptic number.

It is an amenable number.

225920353 is a deficient number, since it is larger than the sum of its proper divisors (9030155).

225920353 is an equidigital number, since it uses as much as digits as its factorization.

225920353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 225920353 is about 15030.6471251241. The cubic root of 225920353 is about 609.0483710634.

Adding to 225920353 its reverse (353029522), we get a palindrome (578949875).

The spelling of 225920353 in words is "two hundred twenty-five million, nine hundred twenty thousand, three hundred fifty-three".

Divisors: 1 29 353 761 841 10237 22069 268633 296873 640001 7790357 225920353