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2400220442189 is a prime number
BaseRepresentation
bin100010111011011000010…
…010010110111001001101
322111110101111012211210102
4202323120102112321031
5303311122413122224
65034351314020445
7335260462063463
oct42733022267115
98443344184712
102400220442189
11845a22958709
12329218b77725
1314545576647b
1484258036833
154267de1c4ae
hex22ed8496e4d

2400220442189 has 2 divisors, whose sum is σ = 2400220442190. Its totient is φ = 2400220442188.

The previous prime is 2400220442099. The next prime is 2400220442203. The reversal of 2400220442189 is 9812440220042.

2400220442189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2149962375625 + 250258066564 = 1466275^2 + 500258^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400220442189 - 228 = 2399952006733 is a prime.

It is a super-2 number, since 2×24002204421892 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400220442989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200110221094 + 1200110221095.

It is an arithmetic number, because the mean of its divisors is an integer number (1200110221095).

Almost surely, 22400220442189 is an apocalyptic number.

It is an amenable number.

2400220442189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400220442189 is an equidigital number, since it uses as much as digits as its factorization.

2400220442189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 2400220442189 in words is "two trillion, four hundred billion, two hundred twenty million, four hundred forty-two thousand, one hundred eighty-nine".