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2005212 = 2231121381
BaseRepresentation
bin111101001100011011100
310202212122010
413221203130
51003131322
6110551220
723021046
oct7514334
93685563
102005212
11114a600
12808510
13552921
143a2a96
1529920c
hex1e98dc

2005212 has 36 divisors (see below), whose sum is σ = 5146568. Its totient is φ = 607200.

The previous prime is 2005207. The next prime is 2005229. The reversal of 2005212 is 2125002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 762 + ... + 2142.

22005212 is an apocalyptic number.

2005212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573284).

2005212 is an abundant number, since it is smaller than the sum of its proper divisors (3141356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005212 is a wasteful number, since it uses less digits than its factorization.

2005212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2005212 is about 1416.0550836744. The cubic root of 2005212 is about 126.1014551974.

The spelling of 2005212 in words is "two million, five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1381 1452 2762 4143 5524 8286 15191 16572 30382 45573 60764 91146 167101 182292 334202 501303 668404 1002606 2005212