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400222313 = 17181130069
BaseRepresentation
bin10111110110101…
…110100001101001
31000220002101210122
4113312232201221
51304424103223
6103414053025
712626555621
oct2766564151
91026071718
10400222313
11195a07a47
12b204a175
1364bbb84a
143b221881
15252095c8
hex17dae869

400222313 has 8 divisors (see below), whose sum is σ = 426109320. Its totient is φ = 374595840.

The previous prime is 400222309. The next prime is 400222321. The reversal of 400222313 is 313222004.

It can be written as a sum of positive squares in 4 ways, for example, as 46895104 + 353327209 = 6848^2 + 18797^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400222313 - 22 = 400222309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400222291 and 400222300.

It is not an unprimeable number, because it can be changed into a prime (400222913) 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 7 ways as a sum of consecutive naturals, for example, 61958 + ... + 68111.

It is an arithmetic number, because the mean of its divisors is an integer number (53263665).

Almost surely, 2400222313 is an apocalyptic number.

It is an amenable number.

400222313 is a deficient number, since it is larger than the sum of its proper divisors (25887007).

400222313 is a wasteful number, since it uses less digits than its factorization.

400222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130267.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 400222313 is about 20005.5570529791. The cubic root of 400222313 is about 736.9427757966.

Adding to 400222313 its reverse (313222004), we get a palindrome (713444317).

The spelling of 400222313 in words is "four hundred million, two hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 17 181 3077 130069 2211173 23542489 400222313