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166224366 = 23372115711
BaseRepresentation
bin10011110100001…
…10000111101110
3102120210001222000
421322012013232
5320023134431
624254433130
74055612100
oct1172060756
9376701860
10166224366
1185913910
12478027a6
132858c919
141810d570
15e8d69e6
hex9e861ee

166224366 has 96 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 43167600.

The previous prime is 166224361. The next prime is 166224367. The reversal of 166224366 is 663422661.

It is a self number, because there is not a number n which added to its sum of digits gives 166224366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166224361) 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, 26251 + ... + 31961.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2166224366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166224366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

166224366 is an abundant number, since it is smaller than the sum of its proper divisors (302616594).

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

166224366 is a wasteful number, since it uses less digits than its factorization.

166224366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5734 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 166224366 is about 12892.8028760235. The cubic root of 166224366 is about 549.8339620015.

The spelling of 166224366 in words is "one hundred sixty-six million, two hundred twenty-four thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3234 4158 4851 5711 9702 11422 14553 17133 29106 34266 39977 51399 62821 79954 102798 119931 125642 154197 188463 239862 279839 308394 359793 376926 439747 559678 565389 719586 839517 879494 1079379 1130778 1319241 1679034 1696167 2158758 2518551 2638482 3078229 3392334 3957723 5037102 6156458 7555653 7915446 9234687 11873169 15111306 18469374 23746338 27704061 55408122 83112183 166224366