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2201340042 = 2321123514729
BaseRepresentation
bin1000001100110101…
…1100100010001010
312200102012122211200
42003031130202022
514002020340132
61002234205030
7105360036666
oct20315344212
95612178750
102201340042
11a2a6653a0
12515283776
132910b0595
1416c5098a6
15cd3d3d7c
hex8335c88a

2201340042 has 48 divisors (see below), whose sum is σ = 5206481280. Its totient is φ = 666648000.

The previous prime is 2201340023. The next prime is 2201340067. The reversal of 2201340042 is 2400431022.

2201340042 is a `hidden beast` number, since 220 + 1 + 3 + 400 + 42 = 666.

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 = 2201339997 and 2201340024.

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 23 ways as a sum of consecutive naturals, for example, 463134 + ... + 467862.

It is an arithmetic number, because the mean of its divisors is an integer number (108468360).

Almost surely, 22201340042 is an apocalyptic number.

2201340042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2201340042 is an abundant number, since it is smaller than the sum of its proper divisors (3005141238).

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

2201340042 is a wasteful number, since it uses less digits than its factorization.

2201340042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2201340042 is about 46918.4403193457. The cubic root of 2201340042 is about 1300.8554610062.

Adding to 2201340042 its reverse (2400431022), we get a palindrome (4601771064).

It can be divided in two parts, 2201 and 340042, that added together give a palindrome (342243).

The spelling of 2201340042 in words is "two billion, two hundred one million, three hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2351 4702 4729 7053 9458 14106 14187 21159 25861 28374 42318 42561 51722 52019 77583 85122 104038 155166 156057 232749 312114 465498 468171 936342 11117879 22235758 33353637 66707274 100060911 122296669 200121822 244593338 366890007 733780014 1100670021 2201340042