Search a number
-
+
209803356 = 223274191987
BaseRepresentation
bin11001000000101…
…01100001011100
3112121210010002200
430200111201130
5412202201411
632452451500
75125204410
oct1440254134
9477703080
10209803356
11a8479404
125a319b90
133460a4c9
141dc14d40
1513643e56
hexc81585c

209803356 has 72 divisors (see below), whose sum is σ = 607850880. Its totient is φ = 59770656.

The previous prime is 209803327. The next prime is 209803369. The reversal of 209803356 is 653308902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 209803356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104595 + ... + 106581.

Almost surely, 2209803356 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 209803356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303925440).

209803356 is an abundant number, since it is smaller than the sum of its proper divisors (398047524).

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

209803356 is a wasteful number, since it uses less digits than its factorization.

209803356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 209803356 is about 14484.5902945164. The cubic root of 209803356 is about 594.2066077190.

It can be divided in two parts, 20980 and 3356, that added together give a square (24336 = 1562).

The spelling of 209803356 in words is "two hundred nine million, eight hundred three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 838 1257 1676 1987 2514 2933 3771 3974 5028 5866 5961 7542 7948 8799 11732 11922 13909 15084 17598 17883 23844 26397 27818 35196 35766 41727 52794 55636 71532 83454 105588 125181 166908 250362 500724 832553 1665106 2497659 3330212 4995318 5827871 7492977 9990636 11655742 14985954 17483613 23311484 29971908 34967226 52450839 69934452 104901678 209803356