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9214272081 = 32746532
BaseRepresentation
bin10001001010011011…
…01010001001010001
3212210011021112001100
420211031222021101
5122332323201311
64122153455013
7444224010000
oct104515521121
925704245040
109214272081
1139a9241aa3
121951a11469
13b3ac93801
14635a70c37
1538de04a56
hex22536a251

9214272081 has 45 divisors (see below), whose sum is σ = 15550645019. Its totient is φ = 5257235088.

The previous prime is 9214272049. The next prime is 9214272113. The reversal of 9214272081 is 1802724129.

The square root of 9214272081 is 95991.

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

9214272081 is a `hidden beast` number, since 9 + 21 + 427 + 208 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (9214272049) and next prime (9214272113).

It can be written as a sum of positive squares in only one way, i.e., 2144153025 + 7070119056 = 46305^2 + 84084^2 .

It is not a de Polignac number, because 9214272081 - 25 = 9214272049 is a prime.

It is a super-2 number, since 2×92142720812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9214272031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14110351 + ... + 14111003.

Almost surely, 29214272081 is an apocalyptic number.

9214272081 is the 95991-st square number.

9214272081 is the 47996-th centered octagonal number.

It is an amenable number.

9214272081 is a deficient number, since it is larger than the sum of its proper divisors (6336372938).

9214272081 is an frugal number, since it uses more digits than its factorization.

9214272081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 9214272081 is about 2096.4620762499.

Multiplying 9214272081 by its sum of digits (36), we get a square (331713794916 = 5759462).

The spelling of 9214272081 in words is "nine billion, two hundred fourteen million, two hundred seventy-two thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 653 1029 1959 2401 3087 4571 5877 7203 13713 21609 31997 41139 95991 223979 287973 426409 671937 1279227 1567853 2015811 2984863 3837681 4703559 8954589 14110677 20894041 26863767 62682123 146258287 188046369 438774861 1023808009 1316324583 3071424027 9214272081