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2242544000 = 2753140159
BaseRepresentation
bin1000010110101010…
…1000000110000000
312210021202001001012
42011222220012000
514043042402000
61010305300052
7106400211104
oct20552500600
95707661035
102242544000
11a50948554
12527034628
132997a9118
14173b93904
15d1d22735
hex85aa8180

2242544000 has 64 divisors (see below), whose sum is σ = 5575564800. Its totient is φ = 897011200.

The previous prime is 2242543993. The next prime is 2242544011. The reversal of 2242544000 is 4452422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54080 + ... + 86079.

It is an arithmetic number, because the mean of its divisors is an integer number (87118200).

Almost surely, 22242544000 is an apocalyptic number.

2242544000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242544000 is an abundant number, since it is smaller than the sum of its proper divisors (3333020800).

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

2242544000 is an equidigital number, since it uses as much as digits as its factorization.

2242544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140188 (or 140166 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2242544000 is about 47355.5065435900. The cubic root of 2242544000 is about 1308.9216695732.

Adding to 2242544000 its reverse (4452422), we get a palindrome (2246996422).

The spelling of 2242544000 in words is "two billion, two hundred forty-two million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 140159 280318 560636 700795 1121272 1401590 2242544 2803180 3503975 4485088 5606360 7007950 8970176 11212720 14015900 17519875 17940352 22425440 28031800 35039750 44850880 56063600 70079500 89701760 112127200 140159000 224254400 280318000 448508800 560636000 1121272000 2242544000