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23201222032 = 2423678997109
BaseRepresentation
bin10101100110111001…
…101000110110010000
32012212221012012022201
4111212321220312100
5340004003101112
614354122412544
71450643063512
oct254671506620
965787165281
1023201222032
11992653756a
1245b6061154
132259983761
1411a150bbb2
1590bd0b257
hex566e68d90

23201222032 has 160 divisors (see below), whose sum is σ = 49084358400. Its totient is φ = 10598252544.

The previous prime is 23201221957. The next prime is 23201222119. The reversal of 23201222032 is 23022210232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212855194 + ... + 212855302.

It is an arithmetic number, because the mean of its divisors is an integer number (306777240).

Almost surely, 223201222032 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 23201222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542179200).

23201222032 is an abundant number, since it is smaller than the sum of its proper divisors (25883136368).

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

23201222032 is a wasteful number, since it uses less digits than its factorization.

23201222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23201222032 its reverse (23022210232), we get a palindrome (46223432264).

The spelling of 23201222032 in words is "twenty-three billion, two hundred one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 67 89 92 97 109 134 178 184 194 218 268 356 368 388 436 536 712 776 872 1072 1424 1541 1552 1744 2047 2231 2507 3082 4094 4462 5014 5963 6164 6499 7303 8188 8633 8924 9701 10028 10573 11926 12328 12998 14606 16376 17266 17848 19402 20056 21146 23852 24656 25996 29212 32752 34532 35696 38804 40112 42292 47704 51992 58424 69064 77608 84584 95408 103984 116848 137149 138128 149477 155216 167969 169168 198559 223123 243179 274298 298954 335938 397118 446246 486358 548596 578411 597908 649967 671876 708391 794236 892492 940997 972716 1097192 1156822 1195816 1299934 1343752 1416782 1588472 1784984 1881994 1945432 2194384 2313644 2391632 2599868 2687504 2833564 3176944 3569968 3763988 3890864 4627288 5199736 5667128 7527976 9254576 10399472 11334256 13303453 14949241 15055952 16292993 21642931 26606906 29898482 32585986 43285862 53213812 59796964 63046799 65171972 86571724 106427624 119593928 126093598 130343944 173143448 212855248 239187856 252187196 260687888 346286896 504374392 1008748784 1450076377 2900152754 5800305508 11600611016 23201222032