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2210430100 = 2252171300253
BaseRepresentation
bin1000001111000000…
…0111110010010100
312201001022111001111
42003300013302110
514011332230400
61003201104404
7105530226424
oct20360076224
95631274044
102210430100
11a3480393a
12518328104
13292c43c08
1416d7d4484
15ce0cc3ba
hex83c07c94

2210430100 has 36 divisors (see below), whose sum is σ = 5078792124. Its totient is φ = 832161280.

The previous prime is 2210430091. The next prime is 2210430109. The reversal of 2210430100 is 10340122.

It is an interprime number because it is at equal distance from previous prime (2210430091) and next prime (2210430109).

It can be written as a sum of positive squares in 6 ways, for example, as 42224004 + 2168206096 = 6498^2 + 46564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210430109) 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, 648427 + ... + 651826.

It is an arithmetic number, because the mean of its divisors is an integer number (141077559).

Almost surely, 22210430100 is an apocalyptic number.

2210430100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210430100 is an abundant number, since it is smaller than the sum of its proper divisors (2868362024).

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

2210430100 is a wasteful number, since it uses less digits than its factorization.

2210430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300284 (or 1300277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2210430100 is about 47015.2113682370. The cubic root of 2210430100 is about 1302.6435555858.

Adding to 2210430100 its reverse (10340122), we get a palindrome (2220770222).

The spelling of 2210430100 in words is "two billion, two hundred ten million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1300253 2600506 5201012 6501265 13002530 22104301 26005060 32506325 44208602 65012650 88417204 110521505 130025300 221043010 442086020 552607525 1105215050 2210430100