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9722946025 = 52132372412
BaseRepresentation
bin10010000111000100…
…00110000111101001
3221002121102211112001
421003202012013221
5124403033233100
64244444251001
7462641451262
oct110342060751
927077384461
109722946025
11413a393291
121a74240a61
13bbc494a00
14683443969
153bd8d2d6a
hex2438861e9

9722946025 has 81 divisors (see below), whose sum is σ = 13752832653. Its totient is φ = 6815577600.

The previous prime is 9722945959. The next prime is 9722946053. The reversal of 9722946025 is 5206492279.

The square root of 9722946025 is 98605.

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

It can be written as a sum of positive squares in 40 ways, for example, as 6241474009 + 3481472016 = 79003^2 + 59004^2 .

It is a de Polignac number, because none of the positive numbers 2k-9722946025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 237145005 + ... + 237145045.

Almost surely, 29722946025 is an apocalyptic number.

9722946025 is the 98605-th square number.

9722946025 is the 49303-rd centered octagonal number.

It is an amenable number.

9722946025 is a deficient number, since it is larger than the sum of its proper divisors (4029886628).

9722946025 is a wasteful number, since it uses less digits than its factorization.

9722946025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The cubic root of 9722946025 is about 2134.3515719557.

The spelling of 9722946025 in words is "nine billion, seven hundred twenty-two million, nine hundred forty-six thousand, twenty-five".

Divisors: 1 5 13 25 37 41 65 169 185 205 325 481 533 845 925 1025 1369 1517 1681 2405 2665 4225 6253 6845 6929 7585 8405 12025 13325 17797 19721 21853 31265 34225 34645 37925 42025 56129 62197 88985 98605 109265 156325 173225 231361 256373 280645 284089 310985 444925 493025 546325 729677 808561 1156805 1281865 1403225 1420445 1554925 2301289 3648385 4042805 5784025 6409325 7102225 9485801 10511293 11506445 18241925 20214025 29916757 47429005 52556465 57532225 149583785 237145025 262782325 388917841 747918925 1944589205 9722946025