Search a number
-
+
2240214160 = 245157178361
BaseRepresentation
bin1000010110000110…
…1111010010010000
312210010100200002211
42011201233102100
514041443323120
61010143321504
7106341335422
oct20541572220
95703320084
102240214160
11a4a5a7068
125262b0294
13299171812
14173748812
15d1a1225a
hex8586f490

2240214160 has 40 divisors (see below), whose sum is σ = 5241702456. Its totient is φ = 890373120.

The previous prime is 2240214143. The next prime is 2240214181. The reversal of 2240214160 is 614120422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 274576 + 2239939584 = 524^2 + 47328^2 .

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

It is an unprimeable number.

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, 76621 + ... + 101740.

Almost surely, 22240214160 is an apocalyptic number.

2240214160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240214160 is an abundant number, since it is smaller than the sum of its proper divisors (3001488296).

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

2240214160 is a wasteful number, since it uses less digits than its factorization.

2240214160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178531 (or 178525 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2240214160 is about 47330.9006886622. The cubic root of 2240214160 is about 1308.4682210538.

Adding to 2240214160 its reverse (614120422), we get a palindrome (2854334582).

The spelling of 2240214160 in words is "two billion, two hundred forty million, two hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 178361 356722 713444 891805 1426888 1783610 2853776 3567220 7134440 14268880 28002677 56005354 112010708 140013385 224021416 280026770 448042832 560053540 1120107080 2240214160