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402201461 is a prime number
BaseRepresentation
bin10111111110010…
…001101101110101
31001000210221200102
4113332101231311
51310430421321
6103524323445
712652441004
oct2776215565
91030727612
10402201461
11197039a02
12b2843585
136543263c
143b5b8c3b
152549ac0b
hex17f91b75

402201461 has 2 divisors, whose sum is σ = 402201462. Its totient is φ = 402201460.

The previous prime is 402201427. The next prime is 402201463. The reversal of 402201461 is 164102204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380055025 + 22146436 = 19495^2 + 4706^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-402201461 is a prime.

Together with 402201463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402201463) by changing a digit.

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 as a sum of consecutive naturals, namely, 201100730 + 201100731.

It is an arithmetic number, because the mean of its divisors is an integer number (201100731).

Almost surely, 2402201461 is an apocalyptic number.

It is an amenable number.

402201461 is a deficient number, since it is larger than the sum of its proper divisors (1).

402201461 is an equidigital number, since it uses as much as digits as its factorization.

402201461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 402201461 is about 20054.9610071922. The cubic root of 402201461 is about 738.1555361155.

Adding to 402201461 its reverse (164102204), we get a palindrome (566303665).

The spelling of 402201461 in words is "four hundred two million, two hundred one thousand, four hundred sixty-one".