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166243312 = 241929109173
BaseRepresentation
bin10011110100010…
…10101111110000
3102120211000221201
421322022233300
5320024241222
624255100544
74056021244
oct1172125760
9376730851
10166243312
1185927074
1247811754
1328598431
1418116424
15e8dc427
hex9e8abf0

166243312 has 80 divisors (see below), whose sum is σ = 356004000. Its totient is φ = 74898432.

The previous prime is 166243309. The next prime is 166243321. The reversal of 166243312 is 213342661.

166243312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960858 + ... + 961030.

It is an arithmetic number, because the mean of its divisors is an integer number (4450050).

Almost surely, 2166243312 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 166243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178002000).

166243312 is an abundant number, since it is smaller than the sum of its proper divisors (189760688).

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

166243312 is a wasteful number, since it uses less digits than its factorization.

166243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 166243312 is about 12893.5376061033. The cubic root of 166243312 is about 549.8548509537.

Adding to 166243312 its reverse (213342661), we get a palindrome (379585973).

The spelling of 166243312 in words is "one hundred sixty-six million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 29 38 58 76 109 116 152 173 218 232 304 346 436 464 551 692 872 1102 1384 1744 2071 2204 2768 3161 3287 4142 4408 5017 6322 6574 8284 8816 10034 12644 13148 16568 18857 20068 25288 26296 33136 37714 40136 50576 52592 60059 75428 80272 95323 120118 150856 190646 240236 301712 358283 381292 480472 546853 716566 762584 960944 1093706 1433132 1525168 2187412 2866264 4374824 5732528 8749648 10390207 20780414 41560828 83121656 166243312