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2421222100 = 225211318191
BaseRepresentation
bin1001000001010000…
…1110101011010100
320020201221211022121
42100110032223110
514424313101400
61040131105324
7114000022363
oct22024165324
96221854277
102421222100
111032798000
12576a42244
132c78093cb
1418d7c57da
15e286921a
hex9050ead4

2421222100 has 72 divisors (see below), whose sum is σ = 5779380096. Its totient is φ = 880396000.

The previous prime is 2421222091. The next prime is 2421222131. The reversal of 2421222100 is 12221242.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 124005 + ... + 142195.

It is an arithmetic number, because the mean of its divisors is an integer number (80269168).

Almost surely, 22421222100 is an apocalyptic number.

2421222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889690048).

2421222100 is an abundant number, since it is smaller than the sum of its proper divisors (3358157996).

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

2421222100 is a wasteful number, since it uses less digits than its factorization.

2421222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18238 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2421222100 is about 49205.9152948098. The cubic root of 2421222100 is about 1342.8006509573.

Adding to 2421222100 its reverse (12221242), we get a palindrome (2433443342).

The spelling of 2421222100 in words is "two billion, four hundred twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 12100 13310 18191 26620 33275 36382 66550 72764 90955 133100 181910 200101 363820 400202 454775 800404 909550 1000505 1819100 2001010 2201111 4002020 4402222 5002525 8804444 10005050 11005555 20010100 22011110 24212221 44022220 48424442 55027775 96848884 110055550 121061105 220111100 242122210 484244420 605305525 1210611050 2421222100