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2240000321 = 135310132189
BaseRepresentation
bin1000010110000011…
…1011000101000001
312210002221210202212
42011200323011001
514041420002241
61010134551505
7106336455116
oct20540730501
95702853685
102240000321
11a4a470439
12526208595
132990c83a0
141736d090d
15d19bdbeb
hex8583b141

2240000321 has 16 divisors (see below), whose sum is σ = 2482235280. Its totient is φ = 2008531200.

The previous prime is 2240000297. The next prime is 2240000341. The reversal of 2240000321 is 1230000422.

It can be written as a sum of positive squares in 8 ways, for example, as 27615025 + 2212385296 = 5255^2 + 47036^2 .

It is not a de Polignac number, because 2240000321 - 210 = 2239999297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2240000296 and 2240000305.

It is not an unprimeable number, because it can be changed into a prime (2240000341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53495 + ... + 85683.

It is an arithmetic number, because the mean of its divisors is an integer number (155139705).

Almost surely, 22240000321 is an apocalyptic number.

It is an amenable number.

2240000321 is a deficient number, since it is larger than the sum of its proper divisors (242234959).

2240000321 is a wasteful number, since it uses less digits than its factorization.

2240000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32356.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2240000321 is about 47328.6416559783. The cubic root of 2240000321 is about 1308.4265865762.

Adding to 2240000321 its reverse (1230000422), we get a palindrome (3470000743).

The spelling of 2240000321 in words is "two billion, two hundred forty million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 53 101 689 1313 5353 32189 69589 418457 1706017 3251089 22178221 42264157 172307717 2240000321