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4224212000 = 25531056053
BaseRepresentation
bin1111101111001000…
…0101110000100000
3101220101121012111022
43323302011300200
532122344241000
61535055305012
7206452131611
oct37362056040
911811535438
104224212000
111878503aa8
1299a81b168
13524205338
142c1039c08
1519acb3585
hexfbc85c20

4224212000 has 48 divisors (see below), whose sum is σ = 10378898712. Its totient is φ = 1689683200.

The previous prime is 4224211987. The next prime is 4224212009. The reversal of 4224212000 is 2124224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1124395024 + 3099816976 = 33532^2 + 55676^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4224212000.

It is not an unprimeable number, because it can be changed into a prime (4224212009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524027 + ... + 532026.

Almost surely, 24224212000 is an apocalyptic number.

4224212000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224212000 is an abundant number, since it is smaller than the sum of its proper divisors (6154686712).

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

4224212000 is a wasteful number, since it uses less digits than its factorization.

4224212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056078 (or 1056060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4224212000 is about 64993.9381788794. The cubic root of 4224212000 is about 1616.5230514481.

Adding to 4224212000 its reverse (2124224), we get a palindrome (4226336224).

The spelling of 4224212000 in words is "four billion, two hundred twenty-four million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 1056053 2112106 4224212 5280265 8448424 10560530 16896848 21121060 26401325 33793696 42242120 52802650 84484240 105605300 132006625 168968480 211210600 264013250 422421200 528026500 844842400 1056053000 2112106000 4224212000