Search a number
-
+
4006100223 = 3229371073877
BaseRepresentation
bin1110111011001000…
…0011110011111111
3101100012011222101100
43232302003303333
531201030201343
61501304344143
7201163201326
oct35662036377
911305158340
104006100223
111776380434
12939775053
134bac79208
142a00a10bd
15186a7c9d3
hexeec83cff

4006100223 has 48 divisors (see below), whose sum is σ = 6206971680. Its totient is φ = 2484857088.

The previous prime is 4006100213. The next prime is 4006100251. The reversal of 4006100223 is 3220016004.

It is a happy number.

It is not a de Polignac number, because 4006100223 - 28 = 4006099967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4006100196 and 4006100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006100213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031361 + ... + 1035237.

It is an arithmetic number, because the mean of its divisors is an integer number (129311910).

Almost surely, 24006100223 is an apocalyptic number.

4006100223 is a deficient number, since it is larger than the sum of its proper divisors (2200871457).

4006100223 is a wasteful number, since it uses less digits than its factorization.

4006100223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4006100223 is about 63293.7613276380. The cubic root of 4006100223 is about 1588.2076004639.

Adding to 4006100223 its reverse (3220016004), we get a palindrome (7226116227).

The spelling of 4006100223 in words is "four billion, six million, one hundred thousand, two hundred twenty-three".

Divisors: 1 3 9 29 37 87 107 111 261 321 333 963 1073 3103 3219 3877 3959 9309 9657 11631 11877 27927 34893 35631 112433 114811 143449 337299 344433 414839 430347 1011897 1033299 1244517 1291041 3733551 4160021 12030331 12480063 15349043 36090993 37440189 46047129 108272979 138141387 445122247 1335366741 4006100223