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2240404101 = 321321472981
BaseRepresentation
bin1000010110001001…
…1101101010000101
312210010201022122200
42011202131222011
514042020412401
61010151345113
7106343056245
oct20542355205
95703638580
102240404101
11a4a716841
12526382199
1329920a100
14173797b25
15d1a4d686
hex8589da85

2240404101 has 18 divisors (see below), whose sum is σ = 3504224178. Its totient is φ = 1378709280.

The previous prime is 2240404073. The next prime is 2240404139. The reversal of 2240404101 is 1014040422.

It can be written as a sum of positive squares in 3 ways, for example, as 192932100 + 2047472001 = 13890^2 + 45249^2 .

It is not a de Polignac number, because 2240404101 - 221 = 2238306949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240404141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 734970 + ... + 738011.

It is an arithmetic number, because the mean of its divisors is an integer number (194679121).

Almost surely, 22240404101 is an apocalyptic number.

It is an amenable number.

2240404101 is a deficient number, since it is larger than the sum of its proper divisors (1263820077).

2240404101 is a wasteful number, since it uses less digits than its factorization.

2240404101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473013 (or 1472997 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240404101 is about 47332.9071682693. The cubic root of 2240404101 is about 1308.5052003663.

Adding to 2240404101 its reverse (1014040422), we get a palindrome (3254444523).

The spelling of 2240404101 in words is "two billion, two hundred forty million, four hundred four thousand, one hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 1472981 4418943 13256829 19148753 57446259 172338777 248933789 746801367 2240404101