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2242140030 = 23251317219349
BaseRepresentation
bin1000010110100100…
…0101011101111110
312210020222111220100
42011221011131332
514042441440110
61010252501530
7106363606254
oct20551053576
95706874810
102242140030
11a506a1a99
12526a7a8a6
132996972a0
14173aca5d4
15d1c92bc0
hex85a4577e

2242140030 has 288 divisors, whose sum is σ = 7040124000. Its totient is φ = 490696704.

The previous prime is 2242139993. The next prime is 2242140053. The reversal of 2242140030 is 300412422.

It is a super-3 number, since 3×22421400303 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2242139985 and 2242140012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6424296 + ... + 6424644.

It is an arithmetic number, because the mean of its divisors is an integer number (24444875).

Almost surely, 22242140030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242140030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520062000).

2242140030 is an abundant number, since it is smaller than the sum of its proper divisors (4797983970).

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

2242140030 is a wasteful number, since it uses less digits than its factorization.

2242140030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2242140030 is about 47351.2410608212. The cubic root of 2242140030 is about 1308.8430688351.

Adding to 2242140030 its reverse (300412422), we get a palindrome (2542552452).

The spelling of 2242140030 in words is "two billion, two hundred forty-two million, one hundred forty thousand, thirty".