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2230202340 = 2232512390013
BaseRepresentation
bin1000010011101110…
…0010111111100100
312202102112000110200
42010323202333210
514031412433330
61005144550500
7106160256432
oct20473427744
95672460420
102230202340
11a44989033
12522a82430
13297077772
1417229dd52
15d0bd5a60
hex84ee2fe4

2230202340 has 36 divisors (see below), whose sum is σ = 6764947644. Its totient is φ = 594720576.

The previous prime is 2230202321. The next prime is 2230202347. The reversal of 2230202340 is 432020322.

2230202340 is a `hidden beast` number, since 22 + 302 + 0 + 2 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1723412196 + 506790144 = 41514^2 + 22512^2 .

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 not an unprimeable number, because it can be changed into a prime (2230202347) by changing a digit.

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, 6194827 + ... + 6195186.

Almost surely, 22230202340 is an apocalyptic number.

2230202340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230202340 is an abundant number, since it is smaller than the sum of its proper divisors (4534745304).

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

2230202340 is a wasteful number, since it uses less digits than its factorization.

2230202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12390028 (or 12390023 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2230202340 is about 47225.0181577519. The cubic root of 2230202340 is about 1306.5160695464.

Adding to 2230202340 its reverse (432020322), we get a palindrome (2662222662).

The spelling of 2230202340 in words is "two billion, two hundred thirty million, two hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12390013 24780026 37170039 49560052 61950065 74340078 111510117 123900130 148680156 185850195 223020234 247800260 371700390 446040468 557550585 743400780 1115101170 2230202340