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2242222248 = 233713346561
BaseRepresentation
bin1000010110100101…
…1001100010101000
312210021010200200110
42011221121202220
514043002102443
61010254334320
7106364401050
oct20551314250
95707120613
102242222248
11a50748842
12526aba3a0
132996c5836
14173b0c560
15d1cac233
hex85a598a8

2242222248 has 32 divisors (see below), whose sum is σ = 6406349760. Its totient is φ = 640634880.

The previous prime is 2242222231. The next prime is 2242222249. The reversal of 2242222248 is 8422222422.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2242222249) by changing a digit.

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, 6673113 + ... + 6673448.

It is an arithmetic number, because the mean of its divisors is an integer number (200198430).

Almost surely, 22242222248 is an apocalyptic number.

2242222248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2242222248 is an abundant number, since it is smaller than the sum of its proper divisors (4164127512).

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

2242222248 is a wasteful number, since it uses less digits than its factorization.

2242222248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346577 (or 13346573 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 2242222248 is about 47352.1092244052. The cubic root of 2242222248 is about 1308.8590668166.

The spelling of 2242222248 in words is "two billion, two hundred forty-two million, two hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13346561 26693122 40039683 53386244 80079366 93425927 106772488 160158732 186851854 280277781 320317464 373703708 560555562 747407416 1121111124 2242222248