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2242144300 = 2252112038313
BaseRepresentation
bin1000010110100100…
…0110100000101100
312210020222201202111
42011221012200230
514042442104200
61010252533404
7106363624564
oct20551064054
95706881674
102242144300
11a506a5220
12526a81264
13299699206
14173acbda4
15d1c940ba
hex85a4682c

2242144300 has 36 divisors (see below), whose sum is σ = 5307769656. Its totient is φ = 815324800.

The previous prime is 2242144291. The next prime is 2242144301. The reversal of 2242144300 is 34412422.

It is a happy number.

It is a super-2 number, since 2×22421443002 = 10054422124044980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2242144301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018057 + ... + 1020256.

It is an arithmetic number, because the mean of its divisors is an integer number (147438046).

Almost surely, 22242144300 is an apocalyptic number.

2242144300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242144300 is an abundant number, since it is smaller than the sum of its proper divisors (3065625356).

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

2242144300 is a wasteful number, since it uses less digits than its factorization.

2242144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038338 (or 2038331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2242144300 is about 47351.2861493751. The cubic root of 2242144300 is about 1308.8438997015.

Adding to 2242144300 its reverse (34412422), we get a palindrome (2276556722).

The spelling of 2242144300 in words is "two billion, two hundred forty-two million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2038313 4076626 8153252 10191565 20383130 22421443 40766260 44842886 50957825 89685772 101915650 112107215 203831300 224214430 448428860 560536075 1121072150 2242144300