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2240400040 = 235307182443
BaseRepresentation
bin1000010110001001…
…1100101010101000
312210010201010002021
42011202130222220
514042020300130
61010151314224
7106343041354
oct20542345250
95703633067
102240400040
11a4a71378a
1252637b974
132992082c8
14173796464
15d1a4c37a
hex8589caa8

2240400040 has 32 divisors (see below), whose sum is σ = 5057347680. Its totient is φ = 893236032.

The previous prime is 2240400007. The next prime is 2240400049. The reversal of 2240400040 is 400040422.

It is a junction number, because it is equal to n+sod(n) for n = 2240399987 and 2240400023.

It is not an unprimeable number, because it can be changed into a prime (2240400049) 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 7 ways as a sum of consecutive naturals, for example, 78942 + ... + 103501.

It is an arithmetic number, because the mean of its divisors is an integer number (158042115).

Almost surely, 22240400040 is an apocalyptic number.

2240400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240400040 is an abundant number, since it is smaller than the sum of its proper divisors (2816947640).

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

2240400040 is a wasteful number, since it uses less digits than its factorization.

2240400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182761 (or 182757 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2240400040 is about 47332.8642699763. The cubic root of 2240400040 is about 1308.5044097586.

Adding to 2240400040 its reverse (400040422), we get a palindrome (2640440462).

The spelling of 2240400040 in words is "two billion, two hundred forty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 307 614 1228 1535 2456 3070 6140 12280 182443 364886 729772 912215 1459544 1824430 3648860 7297720 56010001 112020002 224040004 280050005 448080008 560100010 1120200020 2240400040