Search a number
-
+
2148332184 = 2332377311047
BaseRepresentation
bin1000000000001100…
…1111001010011000
312112201110120201200
42000003033022120
513344433112214
6553102114200
7104144344065
oct20003171230
95481416650
102148332184
11a0274a849
124bb57b960
1328311109b
1416546bc6c
15c8912d09
hex800cf298

2148332184 has 96 divisors (see below), whose sum is σ = 6058060320. Its totient is φ = 687149568.

The previous prime is 2148332149. The next prime is 2148332189. The reversal of 2148332184 is 4812338412.

It is a happy number.

2148332184 is a `hidden beast` number, since 2 + 148 + 332 + 184 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148332189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188949 + ... + 199995.

It is an arithmetic number, because the mean of its divisors is an integer number (63104795).

Almost surely, 22148332184 is an apocalyptic number.

2148332184 is a gapful number since it is divisible by the number (24) 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 2148332184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029030160).

2148332184 is an abundant number, since it is smaller than the sum of its proper divisors (3909728136).

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

2148332184 is a wasteful number, since it uses less digits than its factorization.

2148332184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11169 (or 11162 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2148332184 is about 46350.1044659017. The cubic root of 2148332184 is about 1290.3290597359.

The spelling of 2148332184 in words is "two billion, one hundred forty-eight million, three hundred thirty-two thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 73 74 111 146 148 219 222 292 296 333 438 444 584 657 666 876 888 1314 1332 1752 2628 2664 2701 5256 5402 8103 10804 11047 16206 21608 22094 24309 32412 33141 44188 48618 64824 66282 88376 97236 99423 132564 194472 198846 265128 397692 408739 795384 806431 817478 1226217 1612862 1634956 2419293 2452434 3225724 3269912 3678651 4838586 4904868 6451448 7257879 7357302 9677172 9809736 14515758 14714604 19354344 29031516 29429208 29837947 58063032 59675894 89513841 119351788 179027682 238703576 268541523 358055364 537083046 716110728 1074166092 2148332184