Search a number
-
+
22164465150 = 23252791016173
BaseRepresentation
bin10100101001000110…
…101110010111111110
32010012200100111020200
4110221012232113332
5330343100341100
614103205224330
71413153562632
oct245106562776
963180314220
1022164465150
1194442987a3
124366a020a6
132122c46c49
141103952dc2
1589acb8e00
hex5291ae5fe

22164465150 has 144 divisors (see below), whose sum is σ = 60909226560. Its totient is φ = 5776992000.

The previous prime is 22164465137. The next prime is 22164465199. The reversal of 22164465150 is 5156446122.

22164465150 is a `hidden beast` number, since 2 + 2 + 1 + 644 + 6 + 5 + 1 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3587464 + ... + 3593636.

It is an arithmetic number, because the mean of its divisors is an integer number (422980740).

Almost surely, 222164465150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22164465150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30454613280).

22164465150 is an abundant number, since it is smaller than the sum of its proper divisors (38744761410).

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

22164465150 is a wasteful number, since it uses less digits than its factorization.

22164465150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22164465150 in words is "twenty-two billion, one hundred sixty-four million, four hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 101 150 158 202 225 237 303 395 450 474 505 606 711 790 909 1010 1185 1422 1515 1818 1975 2370 2525 3030 3555 3950 4545 5050 5925 6173 7110 7575 7979 9090 11850 12346 15150 15958 17775 18519 22725 23937 30865 35550 37038 39895 45450 47874 55557 61730 71811 79790 92595 111114 119685 143622 154325 185190 199475 239370 277785 308650 359055 398950 462975 487667 555570 598425 623473 718110 925950 975334 1196850 1246946 1388925 1463001 1795275 1870419 2438335 2777850 2926002 3117365 3590550 3740838 4389003 4876670 5611257 6234730 7315005 8778006 9352095 11222514 12191675 14630010 15586825 18704190 21945015 24383350 28056285 31173650 36575025 43890030 46760475 49254367 56112570 73150050 93520950 98508734 109725075 140281425 147763101 219450150 246271835 280562850 295526202 443289303 492543670 738815505 886578606 1231359175 1477631010 2216446515 2462718350 3694077525 4432893030 7388155050 11082232575 22164465150