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209494000 = 24531937149
BaseRepresentation
bin11000111110010…
…01111111110000
3112121012101202001
430133021333300
5412112302000
632442103344
75122445452
oct1437117760
9477171661
10209494000
11a8287a41
125a1aab54
133452c761
141db742d2
15135d246a
hexc7c9ff0

209494000 has 160 divisors (see below), whose sum is σ = 551304000. Its totient is φ = 76723200.

The previous prime is 209493983. The next prime is 209494007. The reversal of 209494000 is 494902.

It is a self number, because there is not a number n which added to its sum of digits gives 209494000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209494007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405926 + ... + 1406074.

It is an arithmetic number, because the mean of its divisors is an integer number (3445650).

Almost surely, 2209494000 is an apocalyptic number.

209494000 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 209494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275652000).

209494000 is an abundant number, since it is smaller than the sum of its proper divisors (341810000).

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

209494000 is a wasteful number, since it uses less digits than its factorization.

209494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 209494000 is about 14473.9075580853. The cubic root of 209494000 is about 593.9144106105.

It can be divided in two parts, 209 and 494000, that added together give a square (494209 = 7032).

The spelling of 209494000 in words is "two hundred nine million, four hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 37 38 40 50 74 76 80 95 100 125 148 149 152 185 190 200 250 296 298 304 370 380 400 475 500 592 596 703 740 745 760 925 950 1000 1192 1406 1480 1490 1520 1850 1900 2000 2375 2384 2812 2831 2960 2980 3515 3700 3725 3800 4625 4750 5513 5624 5662 5960 7030 7400 7450 7600 9250 9500 11026 11248 11324 11920 14060 14155 14800 14900 17575 18500 18625 19000 22052 22648 27565 28120 28310 29800 35150 37000 37250 38000 44104 45296 55130 56240 56620 59600 70300 70775 74000 74500 87875 88208 104747 110260 113240 137825 140600 141550 149000 175750 209494 220520 226480 275650 281200 283100 298000 351500 353875 418988 441040 523735 551300 566200 689125 703000 707750 837976 1047470 1102600 1132400 1378250 1406000 1415500 1675952 2094940 2205200 2618675 2756500 2831000 4189880 5237350 5513000 5662000 8379760 10474700 11026000 13093375 20949400 26186750 41898800 52373500 104747000 209494000