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22146101 is a prime number
BaseRepresentation
bin101010001111…
…0110000110101
31112200010201222
41110132300311
521132133401
62110400125
7356144615
oct124366065
945603658
1022146101
111155676a
127500045
134785203
142d26a45
151e26c1b
hex151ec35

22146101 has 2 divisors, whose sum is σ = 22146102. Its totient is φ = 22146100.

The previous prime is 22146043. The next prime is 22146127. The reversal of 22146101 is 10164122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21613201 + 532900 = 4649^2 + 730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22146101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22146101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22146151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11073050 + 11073051.

It is an arithmetic number, because the mean of its divisors is an integer number (11073051).

Almost surely, 222146101 is an apocalyptic number.

It is an amenable number.

22146101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22146101 is an equidigital number, since it uses as much as digits as its factorization.

22146101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 22146101 is about 4705.9644070052. The cubic root of 22146101 is about 280.8228388999.

The spelling of 22146101 in words is "twenty-two million, one hundred forty-six thousand, one hundred one".