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2224120020 = 2235149248783
BaseRepresentation
bin1000010010010001…
…0110000011010100
312202000002000002120
42010210112003110
514023333320040
61004410335540
7106054464633
oct20444260324
95660060076
102224120020
11a41504321
12520a2a5b0
13295a28165
1417155951a
15d03d37d0
hex849160d4

2224120020 has 48 divisors (see below), whose sum is σ = 6269356800. Its totient is φ = 589115776.

The previous prime is 2224120009. The next prime is 2224120021. The reversal of 2224120020 is 200214222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115452 + ... + 133331.

It is an arithmetic number, because the mean of its divisors is an integer number (130611600).

Almost surely, 22224120020 is an apocalyptic number.

2224120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224120020 is an abundant number, since it is smaller than the sum of its proper divisors (4045236780).

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

2224120020 is a wasteful number, since it uses less digits than its factorization.

2224120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248944 (or 248942 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2224120020 is about 47160.5769684808. The cubic root of 2224120020 is about 1305.3272560458.

Adding to 2224120020 its reverse (200214222), we get a palindrome (2424334242).

The spelling of 2224120020 in words is "two billion, two hundred twenty-four million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 248783 497566 746349 995132 1243915 1492698 2487830 2985396 3731745 4975660 7463490 14926980 37068667 74137334 111206001 148274668 185343335 222412002 370686670 444824004 556030005 741373340 1112060010 2224120020