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400222321 is a prime number
BaseRepresentation
bin10111110110101…
…110100001110001
31000220002101210221
4113312232201301
51304424103241
6103414053041
712626555632
oct2766564161
91026071727
10400222321
11195a07a54
12b204a181
1364bbb855
143b221889
15252095d1
hex17dae871

400222321 has 2 divisors, whose sum is σ = 400222322. Its totient is φ = 400222320.

The previous prime is 400222309. The next prime is 400222331. The reversal of 400222321 is 123222004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 348942400 + 51279921 = 18680^2 + 7161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400222321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400222295 and 400222304.

It is not a weakly prime, because it can be changed into another prime (400222331) 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 as a sum of consecutive naturals, namely, 200111160 + 200111161.

It is an arithmetic number, because the mean of its divisors is an integer number (200111161).

Almost surely, 2400222321 is an apocalyptic number.

It is an amenable number.

400222321 is a deficient number, since it is larger than the sum of its proper divisors (1).

400222321 is an equidigital number, since it uses as much as digits as its factorization.

400222321 is an odious number, because the sum of its binary digits is odd.

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

The square root of 400222321 is about 20005.5572529235. The cubic root of 400222321 is about 736.9427807068.

Adding to 400222321 its reverse (123222004), we get a palindrome (523444325).

The spelling of 400222321 in words is "four hundred million, two hundred twenty-two thousand, three hundred twenty-one".