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2021222340 = 2232511229013
BaseRepresentation
bin111100001111001…
…0110011111000100
312012212021201210200
41320132112133010
513114413103330
6532321450500
7101042051334
oct17036263704
95185251720
102021222340
11947a22295
12484aa0a30
13262997c67
141526210c4
15bc6a5a60
hex787967c4

2021222340 has 36 divisors (see below), whose sum is σ = 6131041644. Its totient is φ = 538992576.

The previous prime is 2021222339. The next prime is 2021222389. The reversal of 2021222340 is 432221202.

2021222340 is a `hidden beast` number, since 202 + 122 + 2 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 728676036 + 1292546304 = 26994^2 + 35952^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 5614327 + ... + 5614686.

Almost surely, 22021222340 is an apocalyptic number.

2021222340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021222340 is an abundant number, since it is smaller than the sum of its proper divisors (4109819304).

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

2021222340 is a wasteful number, since it uses less digits than its factorization.

2021222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229028 (or 11229023 counting only the distinct ones).

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

The square root of 2021222340 is about 44958.0064059785. The cubic root of 2021222340 is about 1264.3617917312.

Adding to 2021222340 its reverse (432221202), we get a palindrome (2453443542).

The spelling of 2021222340 in words is "two billion, twenty-one million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11229013 22458026 33687039 44916052 56145065 67374078 101061117 112290130 134748156 168435195 202122234 224580260 336870390 404244468 505305585 673740780 1010611170 2021222340