Search a number
-
+
2224420020 = 2232537333997
BaseRepresentation
bin1000010010010101…
…1111010010110100
312202000122020121200
42010211133102310
514023422420040
61004421012500
7106060154364
oct20445372264
95660566550
102224420020
11a41699759
12520b54130
13295b01884
141715d69a4
15d0442630
hex8495f4b4

2224420020 has 72 divisors (see below), whose sum is σ = 6929790504. Its totient is φ = 577145088.

The previous prime is 2224420013. The next prime is 2224420103. The reversal of 2224420020 is 200244222.

2224420020 is a `hidden beast` number, since 2 + 224 + 420 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 606932496 + 1617487524 = 24636^2 + 40218^2 .

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 = 2224419975 and 2224420002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160339 + ... + 173658.

Almost surely, 22224420020 is an apocalyptic number.

2224420020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224420020 is an abundant number, since it is smaller than the sum of its proper divisors (4705370484).

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

2224420020 is a wasteful number, since it uses less digits than its factorization.

2224420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334049 (or 334044 counting only the distinct ones).

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

The square root of 2224420020 is about 47163.7574838986. The cubic root of 2224420020 is about 1305.3859430123.

Adding to 2224420020 its reverse (200244222), we get a palindrome (2424664242).

The spelling of 2224420020 in words is "two billion, two hundred twenty-four million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 333997 667994 1001991 1335988 1669985 2003982 3005973 3339970 4007964 5009955 6011946 6679940 10019910 12023892 12357889 15029865 20039820 24715778 30059730 37073667 49431556 60119460 61789445 74147334 111221001 123578890 148294668 185368335 222442002 247157780 370736670 444884004 556105005 741473340 1112210010 2224420020