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2154414340 = 225138286209
BaseRepresentation
bin1000000001101001…
…1100000100000100
312120010220120212201
42000122130010010
513403012224330
6553440324244
7104250135241
oct20032340404
95503816781
102154414340
11a06124421
12501613684
132844605b0
141661b25c8
15c9214eca
hex8069c104

2154414340 has 24 divisors (see below), whose sum is σ = 4872291480. Its totient is φ = 795475968.

The previous prime is 2154414289. The next prime is 2154414349. The reversal of 2154414340 is 434144512.

It can be written as a sum of positive squares in 4 ways, for example, as 146119744 + 2008294596 = 12088^2 + 44814^2 .

It is a super-2 number, since 2×21544143402 = 9283002296795271200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2154414299 and 2154414308.

It is not an unprimeable number, because it can be changed into a prime (2154414349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4142845 + ... + 4143364.

It is an arithmetic number, because the mean of its divisors is an integer number (203012145).

Almost surely, 22154414340 is an apocalyptic number.

2154414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154414340 is an abundant number, since it is smaller than the sum of its proper divisors (2717877140).

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

2154414340 is a wasteful number, since it uses less digits than its factorization.

2154414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286231 (or 8286229 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2154414340 is about 46415.6691215370. The cubic root of 2154414340 is about 1291.5455984942.

Adding to 2154414340 its reverse (434144512), we get a palindrome (2588558852).

The spelling of 2154414340 in words is "two billion, one hundred fifty-four million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8286209 16572418 33144836 41431045 82862090 107720717 165724180 215441434 430882868 538603585 1077207170 2154414340