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2002294009 = 29215432
BaseRepresentation
bin111011101011000…
…1001010011111001
312011112200002000101
41313112021103321
513100041402014
6530404035401
7100422134602
oct16726112371
95145602011
102002294009
11938274141
1247a692b61
1325ba9b571
1414dcd4da9
15babb7474
hex775894f9

2002294009 has 9 divisors (see below), whose sum is σ = 2075064303. Its totient is φ = 1931996472.

The previous prime is 2002294001. The next prime is 2002294093. The reversal of 2002294009 is 9004922002.

It is a happy number.

The square root of 2002294009 is 44747.

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., 1049954409 + 952339600 = 32403^2 + 30860^2 .

It is not a de Polignac number, because 2002294009 - 23 = 2002294001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002294001) 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, 1296892 + ... + 1298434.

Almost surely, 22002294009 is an apocalyptic number.

2002294009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2002294009 is the 44747-th square number.

2002294009 is the 22374-th centered octagonal number.

It is an amenable number.

2002294009 is a deficient number, since it is larger than the sum of its proper divisors (72770294).

2002294009 is an frugal number, since it uses more digits than its factorization.

2002294009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 2002294009 is about 1260.4025775416.

The spelling of 2002294009 in words is "two billion, two million, two hundred ninety-four thousand, nine".

Divisors: 1 29 841 1543 44747 1297663 2380849 69044621 2002294009