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414122237 is a prime number
BaseRepresentation
bin11000101011110…
…000000011111101
31001212020120220122
4120223300003331
51322003402422
6105032024325
713155660314
oct3053600375
91055216818
10414122237
111a2841191
12b68320a5
1367a47559
143cddd27b
1526552d42
hex18af00fd

414122237 has 2 divisors, whose sum is σ = 414122238. Its totient is φ = 414122236.

The previous prime is 414122209. The next prime is 414122249. The reversal of 414122237 is 732221414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356680996 + 57441241 = 18886^2 + 7579^2 .

It is a cyclic number.

It is not a de Polignac number, because 414122237 - 228 = 145686781 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414122257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207061118 + 207061119.

It is an arithmetic number, because the mean of its divisors is an integer number (207061119).

Almost surely, 2414122237 is an apocalyptic number.

It is an amenable number.

414122237 is a deficient number, since it is larger than the sum of its proper divisors (1).

414122237 is an equidigital number, since it uses as much as digits as its factorization.

414122237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 26.

The square root of 414122237 is about 20349.9935380825. The cubic root of 414122237 is about 745.3773365887.

The spelling of 414122237 in words is "four hundred fourteen million, one hundred twenty-two thousand, two hundred thirty-seven".