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2002831009 = 447532
BaseRepresentation
bin111011101100000…
…1100011010100001
312011120200100122021
41313120030122201
513100211043014
6530423341441
7100426532314
oct16730143241
95146610567
102002831009
11938600643
1247a8b1881
1325bc28b0a
1414ddd497b
15bac71624
hex7760c6a1

2002831009 has 3 divisors (see below), whose sum is σ = 2002875763. Its totient is φ = 2002786256.

The previous prime is 2002830997. The next prime is 2002831057. The reversal of 2002831009 is 9001382002.

The square root of 2002831009 is 44753.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 672624225 + 1330206784 = 25935^2 + 36472^2 .

It is not a de Polignac number, because 2002831009 - 221 = 2000733857 is a prime.

It is a super-2 number, since 2×20028310092 = 8022664101223916162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002831709) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22377 + ... + 67129.

Almost surely, 22002831009 is an apocalyptic number.

2002831009 is the 44753-rd square number.

2002831009 is the 22377-th centered octagonal number.

It is an amenable number.

2002831009 is a deficient number, since it is larger than the sum of its proper divisors (44754).

2002831009 is an frugal number, since it uses more digits than its factorization.

2002831009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89506 (or 44753 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 2002831009 is about 1260.5152442600.

Multiplying 2002831009 by its sum of digits (25), we get a square (50070775225 = 2237652).

The spelling of 2002831009 in words is "two billion, two million, eight hundred thirty-one thousand, nine".

Divisors: 1 44753 2002831009