Search a number
-
+
166233320 = 23511467809
BaseRepresentation
bin10011110100010…
…00010011101000
3102120210112020122
421322020103220
5320023431240
624254542412
74055650151
oct1172102350
9376715218
10166233320
118591a610
1247807a08
1328593a16
1418112928
15e8d94b5
hex9e884e8

166233320 has 64 divisors (see below), whose sum is σ = 409406400. Its totient is φ = 60244480.

The previous prime is 166233289. The next prime is 166233349. The reversal of 166233320 is 23332661.

It is a super-4 number, since 4×1662333204 (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166233320.

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, 205076 + ... + 205884.

It is an arithmetic number, because the mean of its divisors is an integer number (6396975).

Almost surely, 2166233320 is an apocalyptic number.

166233320 is a gapful number since it is divisible by the number (10) 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 166233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204703200).

166233320 is an abundant number, since it is smaller than the sum of its proper divisors (243173080).

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

166233320 is a wasteful number, since it uses less digits than its factorization.

166233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 166233320 is about 12893.1501193463. The cubic root of 166233320 is about 549.8438344508.

Adding to 166233320 its reverse (23332661), we get a palindrome (189565981).

The spelling of 166233320 in words is "one hundred sixty-six million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 467 809 934 1618 1868 2335 3236 3736 4045 4670 5137 6472 8090 8899 9340 10274 16180 17798 18680 20548 25685 32360 35596 41096 44495 51370 71192 88990 102740 177980 205480 355960 377803 755606 1511212 1889015 3022424 3778030 4155833 7556060 8311666 15112120 16623332 20779165 33246664 41558330 83116660 166233320