Search a number
-
+
2240006353 = 134397109379
BaseRepresentation
bin1000010110000011…
…1100100011010001
312210002222010001021
42011200330203101
514041420200403
61010135035441
7106336511524
oct20540744321
95702863037
102240006353
11a4a474a22
1252620bb81
132990cb060
141736d2bbb
15d19c08bd
hex8583c8d1

2240006353 has 32 divisors (see below), whose sum is σ = 2523382400. Its totient is φ = 1975228416.

The previous prime is 2240006347. The next prime is 2240006413. The reversal of 2240006353 is 3536000422.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2240006353 is a prime.

It is a super-2 number, since 2×22400063532 = 10035256922960721218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240006303) 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 31 ways as a sum of consecutive naturals, for example, 5910118 + ... + 5910496.

It is an arithmetic number, because the mean of its divisors is an integer number (78855700).

Almost surely, 22240006353 is an apocalyptic number.

It is an amenable number.

2240006353 is a deficient number, since it is larger than the sum of its proper divisors (283376047).

2240006353 is a wasteful number, since it uses less digits than its factorization.

2240006353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2240006353 is about 47328.7053805616. The cubic root of 2240006353 is about 1308.4277610436.

Adding to 2240006353 its reverse (3536000422), we get a palindrome (5776006775).

The spelling of 2240006353 in words is "two billion, two hundred forty million, six thousand, three hundred fifty-three".

Divisors: 1 13 43 97 109 379 559 1261 1417 4171 4687 4927 10573 16297 36763 41311 54223 60931 137449 211861 454639 477919 537043 1580809 1776373 4007167 5910307 20550517 23092849 52093171 172308181 2240006353