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2205072684 = 223261252019
BaseRepresentation
bin1000001101101110…
…1011110100101100
312200200020022001200
42003123223310230
514003444311214
61002450205500
7105433544223
oct20333536454
95620208050
102205072684
11a31784821
12516583890
13291ab9549
1416cbdbcba
15cd8bed09
hex836ebd2c

2205072684 has 18 divisors (see below), whose sum is σ = 5573933820. Its totient is φ = 735024216.

The previous prime is 2205072673. The next prime is 2205072689. The reversal of 2205072684 is 4862705022.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 61252019 = 2205072684 / (2 + 2 + 0 + 5 + 0 + 7 + 2 + 6 + 8 + 4).

It is not an unprimeable number, because it can be changed into a prime (2205072689) 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 5 ways as a sum of consecutive naturals, for example, 30625974 + ... + 30626045.

It is an arithmetic number, because the mean of its divisors is an integer number (309662990).

Almost surely, 22205072684 is an apocalyptic number.

It is an amenable number.

2205072684 is an abundant number, since it is smaller than the sum of its proper divisors (3368861136).

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

2205072684 is a wasteful number, since it uses less digits than its factorization.

2205072684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61252029 (or 61252024 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2205072684 is about 46958.2014561887. The cubic root of 2205072684 is about 1301.5902991475.

The spelling of 2205072684 in words is "two billion, two hundred five million, seventy-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61252019 122504038 183756057 245008076 367512114 551268171 735024228 1102536342 2205072684