Search a number
-
+
220046160 = 2435916859
BaseRepresentation
bin11010001110110…
…10001101010000
3120100001111120210
431013122031100
5422312434120
633500204120
75311234665
oct1507321520
9510044523
10220046160
11103234a34
1261839640
1336785739
142131da6c
15144b8ce0
hexd1da350

220046160 has 40 divisors (see below), whose sum is σ = 682143840. Its totient is φ = 58678912.

The previous prime is 220046159. The next prime is 220046161. The reversal of 220046160 is 61640022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220046159) and next prime (220046161).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220046161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458190 + ... + 458669.

It is an arithmetic number, because the mean of its divisors is an integer number (17053596).

Almost surely, 2220046160 is an apocalyptic number.

220046160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220046160 is an abundant number, since it is smaller than the sum of its proper divisors (462097680).

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

220046160 is a wasteful number, since it uses less digits than its factorization.

220046160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916875 (or 916869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 220046160 is about 14833.9529458604. The cubic root of 220046160 is about 603.7232918156.

Adding to 220046160 its reverse (61640022), we get a palindrome (281686182).

The spelling of 220046160 in words is "two hundred twenty million, forty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 916859 1833718 2750577 3667436 4584295 5501154 7334872 9168590 11002308 13752885 14669744 18337180 22004616 27505770 36674360 44009232 55011540 73348720 110023080 220046160