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2006233681 = 4729532
BaseRepresentation
bin111011110010100…
…1011001001010001
312011211002020020011
41313211023021101
513102043434211
6531024314521
7100500463534
oct16745131121
95154066204
102006233681
1193a515071
1247ba72a41
1325c84a82a
1415063ca1b
15bb1e4921
hex7794b251

2006233681 has 9 divisors (see below), whose sum is σ = 2051980891. Its totient is φ = 1961487472.

The previous prime is 2006233667. The next prime is 2006233687. The reversal of 2006233681 is 1863326002.

The square root of 2006233681 is 44791.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 835499025 + 1170734656 = 28905^2 + 34216^2 .

It is a de Polignac number, because none of the positive numbers 2k-2006233681 is a prime.

It is a super-2 number, since 2×20062336812 = 8049947165557619522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006233687) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2104701 + ... + 2105653.

Almost surely, 22006233681 is an apocalyptic number.

2006233681 is the 44791-st square number.

2006233681 is the 22396-th centered octagonal number.

It is an amenable number.

2006233681 is a deficient number, since it is larger than the sum of its proper divisors (45747210).

2006233681 is an frugal number, since it uses more digits than its factorization.

2006233681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 2006233681 is about 1261.2286832579.

Adding to 2006233681 its reverse (1863326002), we get a palindrome (3869559683).

It can be divided in two parts, 200623 and 3681, that added together give a square (204304 = 4522).

The spelling of 2006233681 in words is "two billion, six million, two hundred thirty-three thousand, six hundred eighty-one".

Divisors: 1 47 953 2209 44791 908209 2105177 42685823 2006233681