Search a number
-
+
22729467401 is a prime number
BaseRepresentation
bin10101001010110010…
…000010011000001001
32011200001111120121222
4111022302002120021
5333022220424101
614235231211425
71433154166544
oct251262023011
964601446558
1022729467401
119704212303
1244a4076b75
1321b300aac4
1411589c985b
158d06c201b
hex54ac82609

22729467401 has 2 divisors, whose sum is σ = 22729467402. Its totient is φ = 22729467400.

The previous prime is 22729467361. The next prime is 22729467407. The reversal of 22729467401 is 10476492722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18009640000 + 4719827401 = 134200^2 + 68701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22729467401 is a prime.

It is not a weakly prime, because it can be changed into another prime (22729467407) 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, 11364733700 + 11364733701.

It is an arithmetic number, because the mean of its divisors is an integer number (11364733701).

Almost surely, 222729467401 is an apocalyptic number.

It is an amenable number.

22729467401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22729467401 is an equidigital number, since it uses as much as digits as its factorization.

22729467401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 22729467401 in words is "twenty-two billion, seven hundred twenty-nine million, four hundred sixty-seven thousand, four hundred one".