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22354137169 = 72132312532
BaseRepresentation
bin10100110100011010…
…010001000001010001
32010200220020211100021
4110310122101001101
5331240124342134
614134102423441
71420646013400
oct246432210121
963626224307
1022354137169
119531367131
1243ba431b81
132153326300
141120c07637
158ac7830b4
hex534691051

22354137169 has 81 divisors (see below), whose sum is σ = 29654905329. Its totient is φ = 16793300160.

The previous prime is 22354137167. The next prime is 22354137187. The reversal of 22354137169 is 96173145322.

The square root of 22354137169 is 149513.

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 580183569 + 21773953600 = 24087^2 + 147560^2 .

It is not a de Polignac number, because 22354137169 - 21 = 22354137167 is a prime.

It is a super-2 number, since 2×223541371692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22354137163) 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 80 ways as a sum of consecutive naturals, for example, 421776147 + ... + 421776199.

Almost surely, 222354137169 is an apocalyptic number.

22354137169 is the 149513-rd square number.

22354137169 is the 74757-th centered octagonal number.

It is an amenable number.

22354137169 is a deficient number, since it is larger than the sum of its proper divisors (7300768160).

22354137169 is an equidigital number, since it uses as much as digits as its factorization.

22354137169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The spelling of 22354137169 in words is "twenty-two billion, three hundred fifty-four million, one hundred thirty-seven thousand, one hundred sixty-nine".

Divisors: 1 7 13 31 49 53 91 169 217 371 403 637 689 961 1183 1519 1643 2597 2809 2821 4823 5239 6727 8281 8957 11501 12493 19663 19747 21359 33761 36517 36673 47089 50933 62699 80507 87079 87451 137641 149513 162409 255619 256711 277667 356531 438893 474721 609553 612157 662129 1046591 1132027 1136863 1789333 1943669 2495717 2699449 3323047 4266871 4634903 7924189 7958041 8607677 13605683 14716351 18896143 23261329 32444321 35092837 55469323 60253739 103014457 132273001 245649859 421776173 456206881 721101199 1719549013 3193448167 22354137169