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2242024100 = 225222420241
BaseRepresentation
bin1000010110100010…
…1001001010100100
312210020202121212122
42011220221022210
514042424232400
61010250205112
7106362614261
oct20550511244
95706677778
102242024100
11a50622988
12526a23798
132996565a4
14173a9a268
15d1c6d685
hex85a292a4

2242024100 has 18 divisors (see below), whose sum is σ = 4865192514. Its totient is φ = 896809600.

The previous prime is 2242024063. The next prime is 2242024123. The reversal of 2242024100 is 14202422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 805310884 + 1436713216 = 28378^2 + 37904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11210021 + ... + 11210220.

It is an arithmetic number, because the mean of its divisors is an integer number (270288473).

Almost surely, 22242024100 is an apocalyptic number.

2242024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242024100 is an abundant number, since it is smaller than the sum of its proper divisors (2623168414).

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

2242024100 is a wasteful number, since it uses less digits than its factorization.

2242024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22420255 (or 22420248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2242024100 is about 47350.0168954563. The cubic root of 2242024100 is about 1308.8205105069.

Adding to 2242024100 its reverse (14202422), we get a palindrome (2256226522).

The spelling of 2242024100 in words is "two billion, two hundred forty-two million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22420241 44840482 89680964 112101205 224202410 448404820 560506025 1121012050 2242024100