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2220042024 = 233230833917
BaseRepresentation
bin1000010001010011…
…0010011100101000
312201201101211010200
42010110302130220
514021312321044
61004143112200
7106005021504
oct20424623450
95651354120
102220042024
11a3a179482
1251b5a2660
13294c2ac45
14170bb7304
15ced7a369
hex84532728

2220042024 has 24 divisors (see below), whose sum is σ = 6012614010. Its totient is φ = 740013984.

The previous prime is 2220042001. The next prime is 2220042031. The reversal of 2220042024 is 4202400222.

2220042024 is a `hidden beast` number, since 2 + 220 + 0 + 420 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1726402500 + 493639524 = 41550^2 + 22218^2 .

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 = 2220041988 and 2220042006.

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, 15416887 + ... + 15417030.

Almost surely, 22220042024 is an apocalyptic number.

2220042024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220042024 is an abundant number, since it is smaller than the sum of its proper divisors (3792571986).

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

2220042024 is a wasteful number, since it uses less digits than its factorization.

2220042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30833929 (or 30833922 counting only the distinct ones).

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

The square root of 2220042024 is about 47117.3219103123. The cubic root of 2220042024 is about 1304.5289813769.

Adding to 2220042024 its reverse (4202400222), we get a palindrome (6422442246).

The spelling of 2220042024 in words is "two billion, two hundred twenty million, forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30833917 61667834 92501751 123335668 185003502 246671336 277505253 370007004 555010506 740014008 1110021012 2220042024