Search a number
-
+
32221200996 = 223219473672731
BaseRepresentation
bin11110000000100010…
…001000001001100100
310002011112212121022200
4132000202020021210
51011442111412441
622445140054500
72220320455335
oct360042101144
9102145777280
1032221200996
1112735034236
1262b2994430
13306660a70a
1417b944428c
15c88b327b6
hex780888264

32221200996 has 144 divisors (see below), whose sum is σ = 87829647360. Its totient is φ = 9927852480.

The previous prime is 32221200983. The next prime is 32221201007. The reversal of 32221200996 is 69900212223.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32221200996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11796951 + ... + 11799681.

Almost surely, 232221200996 is an apocalyptic number.

32221200996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32221200996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43914823680).

32221200996 is an abundant number, since it is smaller than the sum of its proper divisors (55608446364).

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

32221200996 is a wasteful number, since it uses less digits than its factorization.

32221200996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 32221200996 in words is "thirty-two billion, two hundred twenty-one million, two hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 367 423 564 684 734 846 893 1101 1468 1692 1786 2202 2679 2731 3303 3572 4404 5358 5462 6606 6973 8037 8193 10716 10924 13212 13946 16074 16386 17249 20919 24579 27892 32148 32772 34498 41838 49158 51747 51889 62757 68996 83676 98316 103494 103778 125514 128357 155241 155667 206988 207556 251028 256714 310482 311334 327731 385071 467001 513428 620964 622668 655462 770142 934002 983193 1002277 1155213 1310924 1540284 1868004 1966386 2004554 2310426 2438783 2949579 3006831 3932772 4009108 4620852 4877566 5899158 6013662 7316349 9020493 9755132 11798316 12027324 14632698 18040986 19043263 21949047 29265396 36081972 38086526 43898094 47107019 57129789 76173052 87796188 94214038 114259578 141321057 171389367 188428076 228519156 282642114 342778734 423963171 565284228 685557468 847926342 895033361 1695852684 1790066722 2685100083 3580133444 5370200166 8055300249 10740400332 16110600498 32221200996