Search a number
-
+
2771233146 = 2321113996127
BaseRepresentation
bin1010010100101101…
…1010100101111010
321011010120020012200
42211023122211322
521133413430041
61134553051030
7125450043633
oct24513324572
97133506180
102771233146
1111a231a530
126540b6a76
13352197636
141c409688a
151134561b6
hexa52da97a

2771233146 has 24 divisors (see below), whose sum is σ = 6550187904. Its totient is φ = 839767560.

The previous prime is 2771233117. The next prime is 2771233147. The reversal of 2771233146 is 6413321772.

2771233146 is a `hidden beast` number, since 277 + 12 + 331 + 46 = 666.

It is a super-4 number, since 4×27712331464 (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2771233146.

It is not an unprimeable number, because it can be changed into a prime (2771233147) 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, 6997866 + ... + 6998261.

It is an arithmetic number, because the mean of its divisors is an integer number (272924496).

Almost surely, 22771233146 is an apocalyptic number.

2771233146 is an abundant number, since it is smaller than the sum of its proper divisors (3778954758).

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

2771233146 is a wasteful number, since it uses less digits than its factorization.

2771233146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996146 (or 13996143 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2771233146 is about 52642.5032269553. The cubic root of 2771233146 is about 1404.6162494289.

The spelling of 2771233146 in words is "two billion, seven hundred seventy-one million, two hundred thirty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 13996127 27992254 41988381 83976762 125965143 153957397 251930286 307914794 461872191 923744382 1385616573 2771233146