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234200240000 = 27547937057
BaseRepresentation
bin1101101000011101101…
…1000000111110000000
3211101111211001212221222
43122013123000332000
512314120230140000
6255331243534212
722630462123346
oct3320733007600
9741454055858
10234200240000
1190361a25761
123948122a368
131911494528c
14b49a2c5996
15615abc8a85
hex36876c0f80

234200240000 has 160 divisors (see below), whose sum is σ = 590422879200. Its totient is φ = 92491776000.

The previous prime is 234200239969. The next prime is 234200240051. The reversal of 234200240000 is 42002432.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 6301472 + ... + 6338528.

It is an arithmetic number, because the mean of its divisors is an integer number (3690142995).

Almost surely, 2234200240000 is an apocalyptic number.

234200240000 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 234200240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295211439600).

234200240000 is an abundant number, since it is smaller than the sum of its proper divisors (356222639200).

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

234200240000 is an frugal number, since it uses more digits than its factorization.

234200240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37170 (or 37143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 234200240000 its reverse (42002432), we get a palindrome (234242242432).

The spelling of 234200240000 in words is "two hundred thirty-four billion, two hundred million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 128 158 160 200 250 316 320 395 400 500 625 632 640 790 800 1000 1250 1264 1580 1600 1975 2000 2500 2528 3160 3200 3950 4000 5000 5056 6320 7900 8000 9875 10000 10112 12640 15800 16000 19750 20000 25280 31600 37057 39500 40000 49375 50560 63200 74114 79000 80000 98750 126400 148228 158000 185285 197500 252800 296456 316000 370570 395000 592912 632000 741140 790000 926425 1185824 1264000 1482280 1580000 1852850 2371648 2927503 2964560 3160000 3705700 4632125 4743296 5855006 5929120 6320000 7411400 9264250 11710012 11858240 14637515 14822800 18528500 23160625 23420024 23716480 29275030 29645600 37057000 46321250 46840048 58550060 59291200 73187575 74114000 92642500 93680096 117100120 118582400 146375150 148228000 185285000 187360192 234200240 292750300 296456000 365937875 370570000 374720384 468400480 585500600 592912000 731875750 741140000 936800960 1171001200 1463751500 1482280000 1829689375 1873601920 2342002400 2927503000 2964560000 3659378750 4684004800 5855006000 7318757500 9368009600 11710012000 14637515000 23420024000 29275030000 46840048000 58550060000 117100120000 234200240000