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2242660040 = 235349160649
BaseRepresentation
bin1000010110101100…
…0100011011001000
312210021221221012222
42011223010123020
514043110110130
61010311553212
7106401203315
oct20553043310
95707857188
102242660040
11a50a17755
1252708b808
13299819b9a
14173bc3d0c
15d1d46ce5
hex85ac46c8

2242660040 has 32 divisors (see below), whose sum is σ = 5060475000. Its totient is φ = 894488064.

The previous prime is 2242660039. The next prime is 2242660061. The reversal of 2242660040 is 400662422.

It can be written as a sum of positive squares in 4 ways, for example, as 2210692324 + 31967716 = 47018^2 + 5654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2242659991 and 2242660009.

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 7 ways as a sum of consecutive naturals, for example, 66365 + ... + 94284.

Almost surely, 22242660040 is an apocalyptic number.

2242660040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242660040 is an abundant number, since it is smaller than the sum of its proper divisors (2817814960).

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

2242660040 is a wasteful number, since it uses less digits than its factorization.

2242660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161009 (or 161005 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2242660040 is about 47356.7317284460. The cubic root of 2242660040 is about 1308.9442458156.

The spelling of 2242660040 in words is "two billion, two hundred forty-two million, six hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960 160649 321298 642596 803245 1285192 1606490 3212980 6425960 56066501 112133002 224266004 280332505 448532008 560665010 1121330020 2242660040