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400414225 = 52109146941
BaseRepresentation
bin10111110111011…
…101011000010001
31000220110011001111
4113313131120101
51310001223400
6103422133321
712631315261
oct2767353021
91026404044
10400414225
11196029152
12b2121241
1364c57cc3
143b2717a1
15252463ba
hex17ddd611

400414225 has 12 divisors (see below), whose sum is σ = 501072220. Its totient is φ = 317390400.

The previous prime is 400414211. The next prime is 400414247. The reversal of 400414225 is 522414004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3448449 + 396965776 = 1857^2 + 19924^2 .

It is not a de Polignac number, because 400414225 - 25 = 400414193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400414196 and 400414205.

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, 70746 + ... + 76195.

Almost surely, 2400414225 is an apocalyptic number.

It is an amenable number.

400414225 is a deficient number, since it is larger than the sum of its proper divisors (100657995).

400414225 is a wasteful number, since it uses less digits than its factorization.

400414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147060 (or 147055 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 400414225 is about 20010.3529454130. The cubic root of 400414225 is about 737.0605483094.

Adding to 400414225 its reverse (522414004), we get a palindrome (922828229).

The spelling of 400414225 in words is "four hundred million, four hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 25 109 545 2725 146941 734705 3673525 16016569 80082845 400414225