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2240642020 = 225846113241
BaseRepresentation
bin1000010110001101…
…0111101111100100
312210011011102000111
42011203113233210
514042101021040
61010200422404
7106345100011
oct20543275744
95704142014
102240642020
11a4a869571
12526477a04
132992914a6
1417381a708
15d1a98dea
hex858d7be4

2240642020 has 24 divisors (see below), whose sum is σ = 4706259768. Its totient is φ = 896083200.

The previous prime is 2240642009. The next prime is 2240642059. The reversal of 2240642020 is 202460422.

It can be written as a sum of positive squares in 4 ways, for example, as 1296432036 + 944209984 = 36006^2 + 30728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2240641982 and 2240642000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 162600 + ... + 175840.

It is an arithmetic number, because the mean of its divisors is an integer number (196094157).

Almost surely, 22240642020 is an apocalyptic number.

2240642020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240642020 is an abundant number, since it is smaller than the sum of its proper divisors (2465617748).

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

2240642020 is a wasteful number, since it uses less digits than its factorization.

2240642020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21711 (or 21709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2240642020 is about 47335.4203530506. The cubic root of 2240642020 is about 1308.5515174912.

The spelling of 2240642020 in words is "two billion, two hundred forty million, six hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 8461 13241 16922 26482 33844 42305 52964 66205 84610 132410 169220 264820 112032101 224064202 448128404 560160505 1120321010 2240642020