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2240020420 = 22511101100811
BaseRepresentation
bin1000010110000011…
…1111111111000100
312210002222211100021
42011200333333010
514041421123140
61010135224524
7106336600531
oct20540777704
95702884307
102240020420
11a4a484550
12526218144
13299104591
141736d7d88
15d19c4b4a
hex8583ffc4

2240020420 has 48 divisors (see below), whose sum is σ = 5182543296. Its totient is φ = 806480000.

The previous prime is 2240020417. The next prime is 2240020429. The reversal of 2240020420 is 240200422.

It is a junction number, because it is equal to n+sod(n) for n = 2240020394 and 2240020403.

It is not an unprimeable number, because it can be changed into a prime (2240020429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28186 + ... + 72625.

It is an arithmetic number, because the mean of its divisors is an integer number (107969652).

Almost surely, 22240020420 is an apocalyptic number.

2240020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240020420 is an abundant number, since it is smaller than the sum of its proper divisors (2942522876).

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

2240020420 is a wasteful number, since it uses less digits than its factorization.

2240020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100932 (or 100930 counting only the distinct ones).

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

The square root of 2240020420 is about 47328.8539899288. The cubic root of 2240020420 is about 1308.4304999666.

Adding to 2240020420 its reverse (240200422), we get a palindrome (2480220842).

The spelling of 2240020420 in words is "two billion, two hundred forty million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 100811 201622 403244 504055 1008110 1108921 2016220 2217842 4435684 5544605 10181911 11089210 20363822 22178420 40727644 50909555 101819110 112001021 203638220 224002042 448004084 560005105 1120010210 2240020420