Search a number
-
+
22267701041 is a prime number
BaseRepresentation
bin10100101111010000…
…100010011100110001
32010110212121102021012
4110233100202130301
5331101012413131
614121334040305
71415546223125
oct245720423461
963425542235
1022267701041
11949759a413
1243954a9095
13213b451581
141113547585
158a4dac52b
hex52f422731

22267701041 has 2 divisors, whose sum is σ = 22267701042. Its totient is φ = 22267701040.

The previous prime is 22267700981. The next prime is 22267701077. The reversal of 22267701041 is 14010776222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22083148816 + 184552225 = 148604^2 + 13585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22267701041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22267700989 and 22267701007.

It is not a weakly prime, because it can be changed into another prime (22267701241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11133850520 + 11133850521.

It is an arithmetic number, because the mean of its divisors is an integer number (11133850521).

Almost surely, 222267701041 is an apocalyptic number.

It is an amenable number.

22267701041 is a deficient number, since it is larger than the sum of its proper divisors (1).

22267701041 is an equidigital number, since it uses as much as digits as its factorization.

22267701041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 22267701041 in words is "twenty-two billion, two hundred sixty-seven million, seven hundred one thousand, forty-one".