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2002662261 = 324123323293
BaseRepresentation
bin111011101011110…
…0011001101110101
312011120100210011100
41313113203031311
513100140143021
6530420000313
7100425230325
oct16727431565
95146323140
102002662261
119384a5886
1247a830099
1325bb9a072
1414dd8d285
15bac3b626
hex775e3375

2002662261 has 24 divisors (see below), whose sum is σ = 2976134616. Its totient is φ = 1296898560.

The previous prime is 2002662253. The next prime is 2002662283. The reversal of 2002662261 is 1622662002.

It can be written as a sum of positive squares in 4 ways, for example, as 239166225 + 1763496036 = 15465^2 + 41994^2 .

It is not a de Polignac number, because 2002662261 - 23 = 2002662253 is a prime.

It is a super-2 number, since 2×20026622612 = 8021312263267264242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002662061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74331 + ... + 97623.

It is an arithmetic number, because the mean of its divisors is an integer number (124005609).

Almost surely, 22002662261 is an apocalyptic number.

It is an amenable number.

2002662261 is a deficient number, since it is larger than the sum of its proper divisors (973472355).

2002662261 is a wasteful number, since it uses less digits than its factorization.

2002662261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23573 (or 23570 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2002662261 is about 44751.1146341630. The cubic root of 2002662261 is about 1260.4798418056.

The spelling of 2002662261 in words is "two billion, two million, six hundred sixty-two thousand, two hundred sixty-one".

Divisors: 1 3 9 41 123 233 369 699 2097 9553 23293 28659 69879 85977 209637 955013 2865039 5427269 8595117 16281807 48845421 222518029 667554087 2002662261