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42220002024 = 2332586388917
BaseRepresentation
bin100111010100100000…
…100001101011101000
311000222101101022202200
4213110200201223220
51142431310031044
631221241100200
73023152044624
oct472440415350
9130871338680
1042220002024
11169a60aa462
128223487660
133c9ac98225
142087374184
151171855369
hex9d4821ae8

42220002024 has 24 divisors (see below), whose sum is σ = 114345839010. Its totient is φ = 14073333984.

The previous prime is 42220002023. The next prime is 42220002029. The reversal of 42220002024 is 42020002224.

42220002024 is a `hidden beast` number, since 422 + 200 + 0 + 20 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40220302500 + 1999699524 = 200550^2 + 44718^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42220001988 and 42220002006.

It is not an unprimeable number, because it can be changed into a prime (42220002023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293194387 + ... + 293194530.

Almost surely, 242220002024 is an apocalyptic number.

It is an amenable number.

42220002024 is an abundant number, since it is smaller than the sum of its proper divisors (72125836986).

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

42220002024 is a wasteful number, since it uses less digits than its factorization.

42220002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586388929 (or 586388922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42220002024 its reverse (42020002224), we get a palindrome (84240004248).

The spelling of 42220002024 in words is "forty-two billion, two hundred twenty million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 586388917 1172777834 1759166751 2345555668 3518333502 4691111336 5277500253 7036667004 10555000506 14073334008 21110001012 42220002024