Search a number
-
+
1100166232 = 231161311659
BaseRepresentation
bin100000110010011…
…0011010001011000
32211200011020100111
41001210303101120
54223120304412
6301100214104
736156154504
oct10144632130
92750136314
101100166232
115150191a0
1226853a334
13146c0b549
14a6183304
15668ba2a7
hex41933458

1100166232 has 64 divisors (see below), whose sum is σ = 2298067200. Its totient is φ = 489552000.

The previous prime is 1100166227. The next prime is 1100166233. The reversal of 1100166232 is 2326610011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100166233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669119 + ... + 1669777.

It is an arithmetic number, because the mean of its divisors is an integer number (35907300).

Almost surely, 21100166232 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 1100166232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

1100166232 is an abundant number, since it is smaller than the sum of its proper divisors (1197900968).

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

1100166232 is a wasteful number, since it uses less digits than its factorization.

1100166232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1100166232 is about 33168.7538505745. The cubic root of 1100166232 is about 1032.3321122276.

Adding to 1100166232 its reverse (2326610011), we get a palindrome (3426776243).

The spelling of 1100166232 in words is "one billion, one hundred million, one hundred sixty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 311 488 622 659 671 1244 1318 1342 2488 2636 2684 3421 5272 5368 6842 7249 13684 14498 18971 27368 28996 37942 40199 57992 75884 80398 151768 160796 204949 208681 321592 409898 417362 442189 819796 834724 884378 1639592 1669448 1768756 2254439 3537512 4508878 9017756 12501889 18035512 25003778 50007556 100015112 137520779 275041558 550083116 1100166232