Search a number
-
+
2184264 = 2332231319
BaseRepresentation
bin1000010101010001001000
311002222020200
420111101020
51024344024
6114452200
724365055
oct10252110
94088220
102184264
111262085
12894060
135b6284
1440c02c
152d22c9
hex215448

2184264 has 48 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 695904.

The previous prime is 2184263. The next prime is 2184277. The reversal of 2184264 is 4624812.

2184264 = T257 + T258 + ... + T310.

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

It is not an unprimeable number, because it can be changed into a prime (2184263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

22184264 is an apocalyptic number.

2184264 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 2184264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2184264 is an abundant number, since it is smaller than the sum of its proper divisors (3993336).

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

2184264 is a wasteful number, since it uses less digits than its factorization.

2184264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1347 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2184264 is about 1477.9255732276. The cubic root of 2184264 is about 129.7483098669.

The spelling of 2184264 in words is "two million, one hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1319 1656 2638 3957 5276 7914 10552 11871 15828 23742 30337 31656 47484 60674 91011 94968 121348 182022 242696 273033 364044 546066 728088 1092132 2184264