Search a number
-
+
22115556369 = 3219226092
BaseRepresentation
bin10100100110001100…
…001001110000010001
32010002021022200000100
4110212030021300101
5330243040300434
614054301043013
71412021061504
oct244614116021
963067280010
1022115556369
119419722915
124352556469
132115a8143a
1410db26113b
15896857699
hex526309c11

22115556369 has 27 divisors (see below), whose sum is σ = 33727408923. Its totient is φ = 13962366144.

The previous prime is 22115556347. The next prime is 22115556389. The reversal of 22115556369 is 96365551122.

The square root of 22115556369 is 148713.

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

22115556369 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 5 + 5 + 5 + 636 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10632290769 + 11483265600 = 103113^2 + 107160^2 .

It is not a de Polignac number, because 22115556369 - 29 = 22115555857 is a prime.

It is a super-2 number, since 2×221155563692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22115556319) 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 26 ways as a sum of consecutive naturals, for example, 8475337 + ... + 8477945.

Almost surely, 222115556369 is an apocalyptic number.

22115556369 is the 148713-rd square number.

22115556369 is the 74357-th centered octagonal number.

It is an amenable number.

22115556369 is a deficient number, since it is larger than the sum of its proper divisors (11611852554).

22115556369 is an frugal number, since it uses more digits than its factorization.

With its successor (22115556370) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5262).

22115556369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 2631 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 22115556369 in words is "twenty-two billion, one hundred fifteen million, five hundred fifty-six thousand, three hundred sixty-nine".

Divisors: 1 3 9 19 57 171 361 1083 2609 3249 7827 23481 49571 148713 446139 941849 2825547 6806881 8476641 20420643 61261929 129330739 387992217 1163976651 2457284041 7371852123 22115556369