Search a number
-
+
1023226217 = 13241147673
BaseRepresentation
bin111100111111010…
…011000101101001
32122022101021111022
4330333103011221
54043421214332
6245311142225
734233164546
oct7477230551
92568337438
101023226217
11485648002
12246814975
13133cacc00
1499c75bcd
155ec6d212
hex3cfd3169

1023226217 has 12 divisors (see below), whose sum is σ = 1135022364. Its totient is φ = 921473280.

The previous prime is 1023226163. The next prime is 1023226229. The reversal of 1023226217 is 7126223201.

It can be written as a sum of positive squares in 6 ways, for example, as 442849936 + 580376281 = 21044^2 + 24091^2 .

It is not a de Polignac number, because 1023226217 - 210 = 1023225193 is a prime.

It is a super-2 number, since 2×10232262172 = 2093983782312262178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023226297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66908 + ... + 80765.

It is an arithmetic number, because the mean of its divisors is an integer number (94585197).

Almost surely, 21023226217 is an apocalyptic number.

It is an amenable number.

1023226217 is a deficient number, since it is larger than the sum of its proper divisors (111796147).

1023226217 is a wasteful number, since it uses less digits than its factorization.

1023226217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147740 (or 147727 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1023226217 is about 31987.9073557493. The cubic root of 1023226217 is about 1007.6828943027.

Adding to 1023226217 its reverse (7126223201), we get a palindrome (8149449418).

The spelling of 1023226217 in words is "one billion, twenty-three million, two hundred twenty-six thousand, two hundred seventeen".

Divisors: 1 13 41 169 533 6929 147673 1919749 6054593 24956737 78709709 1023226217