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2209094000 = 24534771331
BaseRepresentation
bin1000001110101100…
…0001100101110000
312200221210121021022
42003223001211300
514011012002000
61003112315012
7105512663201
oct20353014560
95627717238
102209094000
11a33a81023
125179a2a68
13292896a19
1416d5675a8
15cde16585
hex83ac1970

2209094000 has 160 divisors (see below), whose sum is σ = 5548787712. Its totient is φ = 850080000.

The previous prime is 2209093979. The next prime is 2209094023. The reversal of 2209094000 is 4909022.

It is a Cunningham number, because it is equal to 470012-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6673835 + ... + 6674165.

Almost surely, 22209094000 is an apocalyptic number.

2209094000 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 2209094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774393856).

2209094000 is an abundant number, since it is smaller than the sum of its proper divisors (3339693712).

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

2209094000 is a wasteful number, since it uses less digits than its factorization.

2209094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2209094000 is about 47000.9999893619. Note that the first 4 decimals coincide. The cubic root of 2209094000 is about 1302.3810406348.

The spelling of 2209094000 in words is "two billion, two hundred nine million, ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 71 80 94 100 125 142 188 200 235 250 284 331 355 376 400 470 500 568 662 710 752 940 1000 1136 1175 1324 1420 1655 1775 1880 2000 2350 2648 2840 3310 3337 3550 3760 4700 5296 5680 5875 6620 6674 7100 8275 8875 9400 11750 13240 13348 14200 15557 16550 16685 17750 18800 23500 23501 26480 26696 28400 31114 33100 33370 35500 41375 47000 47002 53392 62228 66200 66740 71000 77785 82750 83425 94000 94004 117505 124456 132400 133480 142000 155570 165500 166850 188008 235010 248912 266960 311140 331000 333700 376016 388925 417125 470020 587525 622280 662000 667400 777850 834250 940040 1104547 1175050 1244560 1334800 1555700 1668500 1880080 1944625 2209094 2350100 2937625 3111400 3337000 3889250 4418188 4700200 5522735 5875250 6222800 6674000 7778500 8836376 9400400 11045470 11750500 15557000 17672752 22090940 23501000 27613675 31114000 44181880 47002000 55227350 88363760 110454700 138068375 220909400 276136750 441818800 552273500 1104547000 2209094000