Search a number
-
+
221000975232 = 2737113036221
BaseRepresentation
bin1100110111010010101…
…1110100001110000000
3210010102221022202121220
43031310223310032000
512110102222201412
6245305413515040
721652416203022
oct3156453641600
9703387282556
10221000975232
11857a931a784
12369b8942a80
1317ac01b5b3b
14a9a72ca012
155b3701568c
hex3374af4380

221000975232 has 128 divisors (see below), whose sum is σ = 595854558720. Its totient is φ = 72562022400.

The previous prime is 221000975179. The next prime is 221000975233. The reversal of 221000975232 is 232579000122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 221000975193 and 221000975202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000975233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35521882 + ... + 35528102.

It is an arithmetic number, because the mean of its divisors is an integer number (4655113740).

Almost surely, 2221000975232 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 221000975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297927279360).

221000975232 is an abundant number, since it is smaller than the sum of its proper divisors (374853583488).

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

221000975232 is a wasteful number, since it uses less digits than its factorization.

221000975232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 221000975232 its reverse (232579000122), we get a palindrome (453579975354).

The spelling of 221000975232 in words is "two hundred twenty-one billion, nine hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1303 1704 2272 2606 3408 3909 4544 5212 6221 6816 7818 9088 10424 12442 13632 15636 18663 20848 24884 27264 31272 37326 41696 49768 62544 74652 83392 92513 99536 125088 149304 166784 185026 199072 250176 277539 298608 370052 398144 441691 500352 555078 597216 740104 796288 883382 1110156 1194432 1325073 1480208 1766764 2220312 2388864 2650146 2960416 3533528 4440624 5300292 5920832 7067056 8105963 8881248 10600584 11841664 14134112 16211926 17762496 21201168 24317889 28268224 32423852 35524992 42402336 48635778 56536448 64847704 84804672 97271556 129695408 169609344 194543112 259390816 389086224 518781632 575523373 778172448 1037563264 1151046746 1556344896 1726570119 2302093492 3112689792 3453140238 4604186984 6906280476 9208373968 13812560952 18416747936 27625121904 36833495872 55250243808 73666991744 110500487616 221000975232