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2242000104 = 2333110728163
BaseRepresentation
bin1000010110100010…
…0011010011101000
312210020201101221220
42011220203103220
514042423000404
61010245502040
7106362454311
oct20550432350
95706641856
102242000104
11a50606953
12526a11920
132996486a6
14173a91608
15d1c664d9
hex85a234e8

2242000104 has 64 divisors (see below), whose sum is σ = 5840087040. Its totient is φ = 716441280.

The previous prime is 2242000099. The next prime is 2242000109. The reversal of 2242000104 is 4010002422.

It is an interprime number because it is at equal distance from previous prime (2242000099) and next prime (2242000109).

It is not an unprimeable number, because it can be changed into a prime (2242000109) 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 15 ways as a sum of consecutive naturals, for example, 65527 + ... + 93689.

It is an arithmetic number, because the mean of its divisors is an integer number (91251360).

Almost surely, 22242000104 is an apocalyptic number.

2242000104 is a gapful number since it is divisible by the number (24) 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 2242000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920043520).

2242000104 is an abundant number, since it is smaller than the sum of its proper divisors (3598086936).

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

2242000104 is a wasteful number, since it uses less digits than its factorization.

2242000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28310 (or 28306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2242000104 is about 47349.7635052172. The cubic root of 2242000104 is about 1308.8158411297.

Adding to 2242000104 its reverse (4010002422), we get a palindrome (6252002526).

The spelling of 2242000104 in words is "two billion, two hundred forty-two million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 31 62 93 107 124 186 214 248 321 372 428 642 744 856 1284 2568 3317 6634 9951 13268 19902 26536 28163 39804 56326 79608 84489 112652 168978 225304 337956 675912 873053 1746106 2619159 3013441 3492212 5238318 6026882 6984424 9040323 10476636 12053764 18080646 20953272 24107528 36161292 72322584 93416671 186833342 280250013 373666684 560500026 747333368 1121000052 2242000104