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401314225 = 52131234813
BaseRepresentation
bin10111111010111…
…001000110110001
31000222010212121211
4113322321012301
51310214023400
6103453320121
712642054214
oct2772710661
91028125554
10401314225
11196593354
12b2496041
13651b1850
143b42777b
1525372dba
hex17eb91b1

401314225 has 12 divisors (see below), whose sum is σ = 535909276. Its totient is φ = 296354880.

The previous prime is 401314211. The next prime is 401314231. The reversal of 401314225 is 522413104.

It can be written as a sum of positive squares in 6 ways, for example, as 113401201 + 287913024 = 10649^2 + 16968^2 .

It is not a de Polignac number, because 401314225 - 215 = 401281457 is a prime.

It is a super-2 number, since 2×4013142252 = 322106214374701250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401314196 and 401314205.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 617082 + ... + 617731.

Almost surely, 2401314225 is an apocalyptic number.

It is an amenable number.

401314225 is a deficient number, since it is larger than the sum of its proper divisors (134595051).

401314225 is a wasteful number, since it uses less digits than its factorization.

401314225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234836 (or 1234831 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 401314225 is about 20032.8286819411. The cubic root of 401314225 is about 737.6123586353.

Adding to 401314225 its reverse (522413104), we get a palindrome (923727329).

The spelling of 401314225 in words is "four hundred one million, three hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 1234813 6174065 16052569 30870325 80262845 401314225