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2222464240 = 245236119801
BaseRepresentation
bin1000010001111000…
…0001110011110000
312201212221212210101
42010132001303300
514022422323430
61004311042144
7106034430403
oct20436016360
95655855711
102222464240
11a40583307
12520370354
132955985c9
14171247d3a
15d01a7dca
hex84781cf0

2222464240 has 80 divisors (see below), whose sum is σ = 5480559936. Its totient is φ = 836352000.

The previous prime is 2222464229. The next prime is 2222464243. The reversal of 2222464240 is 424642222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2222464199 and 2222464208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222464243) 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, 102340 + ... + 122140.

Almost surely, 22222464240 is an apocalyptic number.

2222464240 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 2222464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740279968).

2222464240 is an abundant number, since it is smaller than the sum of its proper divisors (3258095696).

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

2222464240 is a wasteful number, since it uses less digits than its factorization.

2222464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 19892 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2222464240 is about 47143.0189953932. The cubic root of 2222464240 is about 1305.0032520483.

The spelling of 2222464240 in words is "two billion, two hundred twenty-two million, four hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 80 92 115 122 184 230 244 305 368 460 488 610 920 976 1220 1403 1840 2440 2806 4880 5612 7015 11224 14030 19801 22448 28060 39602 56120 79204 99005 112240 158408 198010 316816 396020 455423 792040 910846 1207861 1584080 1821692 2277115 2415722 3643384 4554230 4831444 6039305 7286768 9108460 9662888 12078610 18216920 19325776 24157220 27780803 36433840 48314440 55561606 96628880 111123212 138904015 222246424 277808030 444492848 555616060 1111232120 2222464240