Search a number
-
+
9722097396 = 223211791272447
BaseRepresentation
bin10010000110111101…
…10110111011110100
3221002112211201102100
421003132312323310
5124402324104041
64244414142100
7462631315164
oct110336667364
927075751370
109722097396
114139963740
121a73ab1930
13bbc25866b
146832a25a4
153bd7b66b6
hex2437b6ef4

9722097396 has 144 divisors (see below), whose sum is σ = 27373731840. Its totient is φ = 2884714560.

The previous prime is 9722097391. The next prime is 9722097397. The reversal of 9722097396 is 6937902279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9722097391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3971845 + ... + 3974291.

It is an arithmetic number, because the mean of its divisors is an integer number (190095360).

Almost surely, 29722097396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9722097396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686865920).

9722097396 is an abundant number, since it is smaller than the sum of its proper divisors (17651634444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9722097396 is a wasteful number, since it uses less digits than its factorization.

9722097396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 9722097396 is about 98600.6967318183. The cubic root of 9722097396 is about 2134.2894739957.

The spelling of 9722097396 in words is "nine billion, seven hundred twenty-two million, ninety-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 127 132 158 198 237 254 316 381 396 474 508 711 762 869 948 1143 1397 1422 1524 1738 2286 2447 2607 2794 2844 3476 4191 4572 4894 5214 5588 7341 7821 8382 9788 10033 10428 12573 14682 15642 16764 20066 22023 25146 26917 29364 30099 31284 40132 44046 50292 53834 60198 80751 88092 90297 107668 110363 120396 161502 180594 193313 220726 242253 310769 323004 331089 361188 386626 441452 484506 579939 621538 662178 773252 932307 969012 993267 1159878 1243076 1324356 1739817 1864614 1986534 2126443 2319756 2796921 3418459 3479634 3729228 3973068 4252886 5593842 6379329 6836918 6959268 8505772 10255377 11187684 12758658 13673836 19137987 20510754 24550751 25517316 30766131 38275974 41021508 49101502 61532262 73652253 76551948 98203004 123064524 147304506 220956759 270058261 294609012 441913518 540116522 810174783 883827036 1080233044 1620349566 2430524349 3240699132 4861048698 9722097396