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400221333 = 32437310169
BaseRepresentation
bin10111110110101…
…110010010010101
31000220002100110100
4113312232102111
51304424040313
6103414044313
712626553021
oct2766562225
91026070410
10400221333
11195a07236
12b2049699
1364bbb275
143b221381
1525209173
hex17dae495

400221333 has 12 divisors (see below), whose sum is σ = 578286540. Its totient is φ = 266726976.

The previous prime is 400221331. The next prime is 400221343. The reversal of 400221333 is 333122004.

It can be written as a sum of positive squares in 2 ways, for example, as 313396209 + 86825124 = 17703^2 + 9318^2 .

It is not a de Polignac number, because 400221333 - 21 = 400221331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400221331) 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 11 ways as a sum of consecutive naturals, for example, 34273 + ... + 44441.

It is an arithmetic number, because the mean of its divisors is an integer number (48190545).

Almost surely, 2400221333 is an apocalyptic number.

It is an amenable number.

400221333 is a deficient number, since it is larger than the sum of its proper divisors (178065207).

400221333 is a wasteful number, since it uses less digits than its factorization.

400221333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14548 (or 14545 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 400221333 is about 20005.5325597696. The cubic root of 400221333 is about 736.9421742938.

Adding to 400221333 its reverse (333122004), we get a palindrome (733343337).

The spelling of 400221333 in words is "four hundred million, two hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 4373 10169 13119 30507 39357 91521 44469037 133407111 400221333