Search a number
-
+
2306167220449 = 89211321512
BaseRepresentation
bin100001100011110010010…
…001110010100011100001
322011110121202111010201101
4201203302101302203201
5300241012302023244
64523234423034401
7325420654640101
oct41436221624341
98143552433641
102306167220449
1180a049302094
12312b4a89ba01
13139616ca9b41
147d894acd201
153eec6d060d4
hex218f24728e1

2306167220449 has 27 divisors (see below), whose sum is σ = 2368880730489. Its totient is φ = 2245108588800.

The previous prime is 2306167220407. The next prime is 2306167220471. The reversal of 2306167220449 is 9440227616032.

The square root of 2306167220449 is 1518607.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1599276390625 + 706890829824 = 1264625^2 + 840768^2 .

It is not a de Polignac number, because 2306167220449 - 211 = 2306167218401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2306167220399 and 2306167220408.

It is not an unprimeable number, because it can be changed into a prime (2306167220479) 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, 15272630524 + ... + 15272630674.

Almost surely, 22306167220449 is an apocalyptic number.

2306167220449 is the 1518607-th square number.

2306167220449 is the 759304-th centered octagonal number.

It is an amenable number.

2306167220449 is a deficient number, since it is larger than the sum of its proper divisors (62713510040).

2306167220449 is an frugal number, since it uses more digits than its factorization.

2306167220449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 2306167220449 in words is "two trillion, three hundred six billion, one hundred sixty-seven million, two hundred twenty thousand, four hundred forty-nine".

Divisors: 1 89 113 151 7921 10057 12769 13439 17063 22801 895073 1136441 1196071 1518607 1928119 2029289 2576513 101143249 135156023 171602591 180606721 229309657 291145969 15272630599 20408559473 25911991241 2306167220449