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2182200040 = 23554555001
BaseRepresentation
bin1000001000010001…
…1011101011101000
312122002012020200201
42002010123223220
513432120400130
61000312041544
7105035252146
oct20204335350
95562166621
102182200040
11a1a882209
1250a9932b4
1328a13b737
14169b66596
15cb8a2bca
hex8211bae8

2182200040 has 16 divisors (see below), whose sum is σ = 4909950180. Its totient is φ = 872880000.

The previous prime is 2182200017. The next prime is 2182200073. The reversal of 2182200040 is 400022812.

It can be written as a sum of positive squares in 2 ways, for example, as 2014393924 + 167806116 = 44882^2 + 12954^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2182199990 and 2182200017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27277461 + ... + 27277540.

Almost surely, 22182200040 is an apocalyptic number.

2182200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2182200040 is an abundant number, since it is smaller than the sum of its proper divisors (2727750140).

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

2182200040 is a wasteful number, since it uses less digits than its factorization.

2182200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54555012 (or 54555008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2182200040 is about 46714.0240184894. The cubic root of 2182200040 is about 1297.0742962619.

Adding to 2182200040 its reverse (400022812), we get a palindrome (2582222852).

The spelling of 2182200040 in words is "two billion, one hundred eighty-two million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 54555001 109110002 218220004 272775005 436440008 545550010 1091100020 2182200040