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22303111328689 = 17283233472
BaseRepresentation
bin1010001001000110110010…
…00001110011001110110001
32220222011020011202020221211
411010203121001303032301
510410403233000004224
6115233524034520121
74461226614222412
oct504433101631661
986864204666854
1022303111328689
1171197729a4444
1226025aaa36041
13c5a23613a2a9
14571695155809
1528a24d757894
hex1448d90733b1

22303111328689 has 27 divisors (see below), whose sum is σ = 23988287273227. Its totient is φ = 20732061944384.

The previous prime is 22303111328651. The next prime is 22303111328783. The reversal of 22303111328689 is 98682311130322.

The square root of 22303111328689 is 4722617.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17364014010225 + 4939097318464 = 4167015^2 + 2222408^2 .

It is not a de Polignac number, because 22303111328689 - 221 = 22303109231537 is a prime.

It is a super-2 number, since 2×223031113286892 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22303111328609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6663610914 + ... + 6663614260.

Almost surely, 222303111328689 is an apocalyptic number.

22303111328689 is the 4722617-th square number.

22303111328689 is the 2361309-th centered octagonal number.

It is an amenable number.

22303111328689 is a deficient number, since it is larger than the sum of its proper divisors (1685175944538).

22303111328689 is an frugal number, since it uses more digits than its factorization.

22303111328689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 22303111328689 in words is "twenty-two trillion, three hundred three billion, one hundred eleven million, three hundred twenty-eight thousand, six hundred eighty-nine".

Divisors: 1 17 83 289 1411 3347 6889 23987 56899 117113 277801 967283 1990921 4722617 11202409 23057483 80284489 190440953 391977211 929799947 3237496201 6663612587 15806599099 77173395601 268712184683 1311947725217 22303111328689