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2002224040 = 23550055601
BaseRepresentation
bin111011101010111…
…1000001110101000
312011112112112000221
41313111320032220
513100032132130
6530402335424
7100421423605
oct16725701650
95145475027
102002224040
11938226613
1247a65a574
1325ba7576b
1414dcb76ac
15baba187a
hex775783a8

2002224040 has 16 divisors (see below), whose sum is σ = 4505004180. Its totient is φ = 800889600.

The previous prime is 2002224013. The next prime is 2002224067. The reversal of 2002224040 is 404222002.

It is an interprime number because it is at equal distance from previous prime (2002224013) and next prime (2002224067).

It can be written as a sum of positive squares in 2 ways, for example, as 1861232164 + 140991876 = 43142^2 + 11874^2 .

It is a super-2 number, since 2×20022240402 = 8017802212707843200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25027761 + ... + 25027840.

Almost surely, 22002224040 is an apocalyptic number.

2002224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002224040 is an abundant number, since it is smaller than the sum of its proper divisors (2502780140).

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

2002224040 is a wasteful number, since it uses less digits than its factorization.

2002224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50055612 (or 50055608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2002224040 is about 44746.2181642203. The cubic root of 2002224040 is about 1260.3878960255.

Adding to 2002224040 its reverse (404222002), we get a palindrome (2406446042).

The spelling of 2002224040 in words is "two billion, two million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 50055601 100111202 200222404 250278005 400444808 500556010 1001112020 2002224040