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2292403240 = 23567784653
BaseRepresentation
bin1000100010100011…
…0100110000101000
312220202120011001201
42020220310300220
514143323400430
61015250053544
7110544051241
oct21050646050
95822504051
102292403240
11a77002536
1253b87a2b4
132a6c1542a
1417a651cc8
15d63c08ca
hex88a34c28

2292403240 has 32 divisors (see below), whose sum is σ = 5165587080. Its totient is φ = 915596032.

The previous prime is 2292403237. The next prime is 2292403247. The reversal of 2292403240 is 423042922.

It can be written as a sum of positive squares in 4 ways, for example, as 1957000644 + 335402596 = 44238^2 + 18314^2 .

It is a super-2 number, since 2×22924032402 = 10510225229524995200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2292403199 and 2292403208.

It is not an unprimeable number, because it can be changed into a prime (2292403247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15247 + ... + 69406.

Almost surely, 22292403240 is an apocalyptic number.

2292403240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2292403240 is an abundant number, since it is smaller than the sum of its proper divisors (2873183840).

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

2292403240 is a wasteful number, since it uses less digits than its factorization.

2292403240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85341 (or 85337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2292403240 is about 47879.0480272948. The cubic root of 2292403240 is about 1318.5512188423.

The spelling of 2292403240 in words is "two billion, two hundred ninety-two million, four hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 677 1354 2708 3385 5416 6770 13540 27080 84653 169306 338612 423265 677224 846530 1693060 3386120 57310081 114620162 229240324 286550405 458480648 573100810 1146201620 2292403240