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2241944680 = 23556048617
BaseRepresentation
bin1000010110100001…
…0101110001101000
312210020121120221011
42011220111301220
514042414212210
61010244353304
7106362133603
oct20550256150
95706546834
102241944680
11a50579248
125269a5834
132996293b1
14173a7933a
15d1c54d8a
hex85a15c68

2241944680 has 16 divisors (see below), whose sum is σ = 5044375620. Its totient is φ = 896777856.

The previous prime is 2241944671. The next prime is 2241944693. The reversal of 2241944680 is 864491422.

It can be written as a sum of positive squares in 2 ways, for example, as 2224254244 + 17690436 = 47162^2 + 4206^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 56048617 = 2241944680 / (2 + 2 + 4 + 1 + 9 + 4 + 4 + 6 + 8 + 0).

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 3 ways as a sum of consecutive naturals, for example, 28024269 + ... + 28024348.

Almost surely, 22241944680 is an apocalyptic number.

2241944680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241944680 is an abundant number, since it is smaller than the sum of its proper divisors (2802430940).

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

2241944680 is a wasteful number, since it uses less digits than its factorization.

2241944680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56048628 (or 56048624 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 2241944680 is about 47349.1782399653. The cubic root of 2241944680 is about 1308.8050560563.

The spelling of 2241944680 in words is "two billion, two hundred forty-one million, nine hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 56048617 112097234 224194468 280243085 448388936 560486170 1120972340 2241944680