Search a number
-
+
2226416661 = 32742438329
BaseRepresentation
bin1000010010110100…
…0110110000010101
312202011101200111100
42010231012300111
514024430313121
61004531500313
7106113141450
oct20455066025
95664350440
102226416661
11a42832877
12521757699
13296350611
14171996497
15d06d9026
hex84b46c15

2226416661 has 24 divisors (see below), whose sum is σ = 3676662080. Its totient is φ = 1271785536.

The previous prime is 2226416659. The next prime is 2226416693. The reversal of 2226416661 is 1666146222.

It is not a de Polignac number, because 2226416661 - 21 = 2226416659 is a prime.

It is a super-2 number, since 2×22264166612 = 9913862296756777842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226416641) 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 in 23 ways as a sum of consecutive naturals, for example, 263145 + ... + 271473.

Almost surely, 22226416661 is an apocalyptic number.

2226416661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2226416661 is a deficient number, since it is larger than the sum of its proper divisors (1450245419).

2226416661 is a wasteful number, since it uses less digits than its factorization.

2226416661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585 (or 12582 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2226416661 is about 47184.9198473411. The cubic root of 2226416661 is about 1305.7763979965.

The spelling of 2226416661 in words is "two billion, two hundred twenty-six million, four hundred sixteen thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 63 4243 8329 12729 24987 29701 38187 58303 74961 89103 174909 267309 524727 35339947 106019841 247379629 318059523 742138887 2226416661