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209054340 = 2232511195557
BaseRepresentation
bin11000111010111…
…10101010000100
3112120101001122100
430131132222010
5412004214330
632424432100
75115634605
oct1435365204
9476331570
10209054340
11a8007690
125a018630
13344075c1
141da9bdac
1513547060
hexc75ea84

209054340 has 144 divisors (see below), whose sum is σ = 728320320. Its totient is φ = 48003840.

The previous prime is 209054333. The next prime is 209054387. The reversal of 209054340 is 43450902.

209054340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34842 + ... + 40398.

It is an arithmetic number, because the mean of its divisors is an integer number (5057780).

Almost surely, 2209054340 is an apocalyptic number.

209054340 is a gapful number since it is divisible by the number (20) 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 209054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364160160).

209054340 is an abundant number, since it is smaller than the sum of its proper divisors (519265980).

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

209054340 is a wasteful number, since it uses less digits than its factorization.

209054340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 209054340 is about 14458.7115608549. The cubic root of 209054340 is about 593.4986416751.

The spelling of 209054340 in words is "two hundred nine million, fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 5557 6270 7524 9405 11114 12540 16671 18810 22228 27785 33342 37620 50013 55570 61127 66684 83355 100026 105583 111140 122254 166710 183381 200052 211166 244508 250065 305635 316749 333420 366762 422332 500130 527915 550143 611270 633498 733524 916905 950247 1000260 1055830 1100286 1161413 1222540 1266996 1583745 1833810 1900494 2111660 2200572 2322826 2750715 3167490 3484239 3667620 3800988 4645652 4751235 5501430 5807065 6334980 6968478 9502470 10452717 11002860 11614130 13936956 17421195 19004940 20905434 23228260 34842390 41810868 52263585 69684780 104527170 209054340