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401401225 = 5240072
BaseRepresentation
bin10111111011001…
…110010110001001
31000222022021222001
4113323032112021
51310224314400
6103455231001
712642565651
oct2773162611
91028267861
10401401225
11196642755
12b2518461
1365212324
143b44b361
152538da6a
hex17ece589

401401225 has 9 divisors (see below), whose sum is σ = 497861767. Its totient is φ = 321040840.

The previous prime is 401401223. The next prime is 401401243. The reversal of 401401225 is 522104104.

The square root of 401401225 is 20035.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 144504441 + 256896784 = 12021^2 + 16028^2 .

It is not a de Polignac number, because 401401225 - 21 = 401401223 is a prime.

It is a super-2 number, since 2×4014012252 = 322245886863001250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401401223) 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 8 ways as a sum of consecutive naturals, for example, 98172 + ... + 102178.

Almost surely, 2401401225 is an apocalyptic number.

401401225 is the 20035-th square number.

401401225 is the 10018-th centered octagonal number.

It is an amenable number.

401401225 is a deficient number, since it is larger than the sum of its proper divisors (96460542).

401401225 is an frugal number, since it uses more digits than its factorization.

401401225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The cubic root of 401401225 is about 737.6656565538.

Adding to 401401225 its reverse (522104104), we get a palindrome (923505329).

The spelling of 401401225 in words is "four hundred one million, four hundred one thousand, two hundred twenty-five".

Divisors: 1 5 25 4007 20035 100175 16056049 80280245 401401225