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209202012 = 22323126047
BaseRepresentation
bin11000111100000…
…10101101011100
3112120122120012200
430132002231130
5412023431022
632431531500
75120121255
oct1436025534
9476576180
10209202012
11a80a8628
125a089b90
1334459896
141dad9b2c
1513575bac
hexc782b5c

209202012 has 54 divisors (see below), whose sum is σ = 546515424. Its totient is φ = 67473360.

The previous prime is 209201987. The next prime is 209202031. The reversal of 209202012 is 210202902.

209202012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2092020124 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31573 + ... + 37619.

It is an arithmetic number, because the mean of its divisors is an integer number (10120656).

Almost surely, 2209202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273257712).

209202012 is an abundant number, since it is smaller than the sum of its proper divisors (337313412).

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

209202012 is a wasteful number, since it uses less digits than its factorization.

209202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 209202012 is about 14463.8173384484. The cubic root of 209202012 is about 593.6383541585.

Adding to 209202012 its reverse (210202902), we get a palindrome (419404914).

The spelling of 209202012 in words is "two hundred nine million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 6047 8649 11532 12094 17298 18141 24188 34596 36282 54423 72564 108846 187457 217692 374914 562371 749828 1124742 1687113 2249484 3374226 5811167 6748452 11622334 17433501 23244668 34867002 52300503 69734004 104601006 209202012