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2240404225 = 52471906727
BaseRepresentation
bin1000010110001001…
…1101101100000001
312210010201022211021
42011202131230001
514042020413400
61010151345441
7106343056513
oct20542355401
95703638737
102240404225
11a4a716944
12526382281
1329920a197
14173797bb3
15d1a4d71a
hex8589db01

2240404225 has 12 divisors (see below), whose sum is σ = 2837211264. Its totient is φ = 1754187920.

The previous prime is 2240404207. The next prime is 2240404253. The reversal of 2240404225 is 5224040422.

It is not a de Polignac number, because 2240404225 - 213 = 2240396033 is a prime.

It is a super-2 number, since 2×22404042252 = 10038822182795701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2240404225.

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 11 ways as a sum of consecutive naturals, for example, 952189 + ... + 954538.

It is an arithmetic number, because the mean of its divisors is an integer number (236434272).

Almost surely, 22240404225 is an apocalyptic number.

2240404225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2240404225 is a deficient number, since it is larger than the sum of its proper divisors (596807039).

2240404225 is a wasteful number, since it uses less digits than its factorization.

2240404225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906784 (or 1906779 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 2240404225 is about 47332.9084781402. The cubic root of 2240404225 is about 1308.5052245070.

Adding to 2240404225 its reverse (5224040422), we get a palindrome (7464444647).

The spelling of 2240404225 in words is "two billion, two hundred forty million, four hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 1175 1906727 9533635 47668175 89616169 448080845 2240404225