Search a number
-
+
2166802484 = 2271119479773
BaseRepresentation
bin1000000100100110…
…1100100000110100
312121000012222012212
42001021230200310
513414200134414
6555002032552
7104460342260
oct20111544064
95530188185
102166802484
11a12115860
125057a8758
13286baa162
14167ab90a0
15ca36083e
hex8126c834

2166802484 has 96 divisors (see below), whose sum is σ = 4993228800. Its totient is φ = 797074560.

The previous prime is 2166802453. The next prime is 2166802489. The reversal of 2166802484 is 4842086612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166802489) 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 31 ways as a sum of consecutive naturals, for example, 2802722 + ... + 2803494.

It is an arithmetic number, because the mean of its divisors is an integer number (52012800).

Almost surely, 22166802484 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 2166802484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496614400).

2166802484 is an abundant number, since it is smaller than the sum of its proper divisors (2826426316).

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

2166802484 is a wasteful number, since it uses less digits than its factorization.

2166802484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 2166802484 is about 46548.9257018892. The cubic root of 2166802484 is about 1294.0163834187.

The spelling of 2166802484 in words is "two billion, one hundred sixty-six million, eight hundred two thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 479 532 773 836 958 1463 1546 1916 2926 3092 3353 5269 5411 5852 6706 8503 9101 10538 10822 13412 14687 17006 18202 21076 21644 29374 34012 36404 36883 58748 59521 63707 73766 100111 102809 119042 127414 147532 161557 200222 205618 238084 254828 323114 370267 400444 411236 646228 700777 740534 1130899 1401554 1481068 2261798 2591869 2803108 4072937 4523596 5183738 7035073 8145874 10367476 14070146 16291748 28140292 28510559 49245511 57021118 77385803 98491022 114042236 154771606 196982044 309543212 541700621 1083401242 2166802484