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400013224 = 23133846281
BaseRepresentation
bin10111110101111…
…011011110101000
31000212200202222121
4113311323132220
51304400410344
6103405401024
712625025212
oct2765733650
91025622877
10400013224
11195884946
12b1b69174
1364b47620
143b1a95b2
15251b7684
hex17d7b7a8

400013224 has 16 divisors (see below), whose sum is σ = 807719220. Its totient is φ = 184621440.

The previous prime is 400013191. The next prime is 400013239. The reversal of 400013224 is 422310004.

It can be written as a sum of positive squares in 2 ways, for example, as 398002500 + 2010724 = 19950^2 + 1418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400013198 and 400013207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1923037 + ... + 1923244.

Almost surely, 2400013224 is an apocalyptic number.

It is an amenable number.

400013224 is an abundant number, since it is smaller than the sum of its proper divisors (407705996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400013224 is a wasteful number, since it uses less digits than its factorization.

400013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846300 (or 3846296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400013224 is about 20000.3305972676. The cubic root of 400013224 is about 736.8144192440.

Adding to 400013224 its reverse (422310004), we get a palindrome (822323228).

The spelling of 400013224 in words is "four hundred million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 3846281 7692562 15385124 30770248 50001653 100003306 200006612 400013224