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217340000000 = 285710867
BaseRepresentation
bin1100101001101001111…
…0010011011100000000
3202202222210112221201122
43022122132103130000
512030103020000000
6243502234251412
721462613342604
oct3123236233400
9682883487648
10217340000000
118419a844912
1236156886b68
13176588a6bc6
14a73adc7504
1559c090c085
hex329a793700

217340000000 has 144 divisors (see below), whose sum is σ = 542337283488. Its totient is φ = 86928000000.

The previous prime is 217339999957. The next prime is 217340000023. The reversal of 217340000000 is 43712.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19994567 + ... + 20005433.

Almost surely, 2217340000000 is an apocalyptic number.

217340000000 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 217340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271168641744).

217340000000 is an abundant number, since it is smaller than the sum of its proper divisors (324997283488).

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

217340000000 is an frugal number, since it uses more digits than its factorization.

217340000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

Adding to 217340000000 its reverse (43712), we get a palindrome (217340043712).

The spelling of 217340000000 in words is "two hundred seventeen billion, three hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 10867 12500 15625 16000 20000 21734 25000 31250 32000 40000 43468 50000 54335 62500 78125 80000 86936 100000 108670 125000 156250 160000 173872 200000 217340 250000 271675 312500 347744 400000 434680 500000 543350 625000 695488 800000 869360 1000000 1086700 1250000 1358375 1390976 1738720 2000000 2173400 2500000 2716750 2781952 3477440 4000000 4346800 5000000 5433500 6791875 6954880 8693600 10000000 10867000 13583750 13909760 17387200 20000000 21734000 27167500 33959375 34774400 43468000 54335000 67918750 69548800 86936000 108670000 135837500 169796875 173872000 217340000 271675000 339593750 347744000 434680000 543350000 679187500 848984375 869360000 1086700000 1358375000 1697968750 1738720000 2173400000 2716750000 3395937500 4346800000 5433500000 6791875000 8693600000 10867000000 13583750000 21734000000 27167500000 43468000000 54335000000 108670000000 217340000000