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2422242100 = 2252161315017
BaseRepresentation
bin1001000001100000…
…0111101100110100
320020210212122111101
42100120013230310
514430043221400
61040205015444
7114011501215
oct22030075464
96223778441
102422242100
111033324383
12577254584
132c7aa5765
1418d9ad40c
15e29bb56a
hex90607b34

2422242100 has 36 divisors (see below), whose sum is σ = 5259874284. Its totient is φ = 968231680.

The previous prime is 2422242049. The next prime is 2422242101. The reversal of 2422242100 is 12422242.

It can be written as a sum of positive squares in 6 ways, for example, as 62031376 + 2360210724 = 7876^2 + 48582^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422242101) 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 11 ways as a sum of consecutive naturals, for example, 153792 + ... + 168808.

It is an arithmetic number, because the mean of its divisors is an integer number (146107619).

Almost surely, 22422242100 is an apocalyptic number.

2422242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422242100 is an abundant number, since it is smaller than the sum of its proper divisors (2837632184).

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

2422242100 is a wasteful number, since it uses less digits than its factorization.

2422242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2422242100 is about 49216.2788109788. The cubic root of 2422242100 is about 1342.9891872031.

Adding to 2422242100 its reverse (12422242), we get a palindrome (2434664342).

The spelling of 2422242100 in words is "two billion, four hundred twenty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1613 3226 6452 8065 15017 16130 30034 32260 40325 60068 75085 80650 150170 161300 300340 375425 750850 1501700 24222421 48444842 96889684 121112105 242224210 484448420 605560525 1211121050 2422242100