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232340100000 = 25355774467
BaseRepresentation
bin1101100001100010001…
…1001001001110100000
3211012201011212222120220
43120120203021032200
512301313031200000
6254422514403040
722533414156561
oct3303043111640
9735634788526
10232340100000
118a597a24a78
1239042290480
1318ba9459618
14b361236168
15609c7411a0
hex36188c93a0

232340100000 has 144 divisors (see below), whose sum is σ = 762318146016. Its totient is φ = 61957280000.

The previous prime is 232340099989. The next prime is 232340100037. The reversal of 232340100000 is 1043232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87234 + ... + 687233.

It is an arithmetic number, because the mean of its divisors is an integer number (5293876014).

Almost surely, 2232340100000 is an apocalyptic number.

232340100000 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 232340100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381159073008).

232340100000 is an abundant number, since it is smaller than the sum of its proper divisors (529978046016).

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

232340100000 is an frugal number, since it uses more digits than its factorization.

232340100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774505 (or 774477 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 232340100000 its reverse (1043232), we get a palindrome (232341143232).

The spelling of 232340100000 in words is "two hundred thirty-two billion, three hundred forty million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 774467 1548934 2323401 3097868 3872335 4646802 6195736 7744670 9293604 11617005 12391472 15489340 18587208 19361675 23234010 24782944 30978680 37174416 38723350 46468020 58085025 61957360 74348832 77446700 92936040 96808375 116170050 123914720 154893400 185872080 193616750 232340100 290425125 309786800 371744160 387233500 464680200 484041875 580850250 619573600 774467000 929360400 968083750 1161700500 1452125625 1548934000 1858720800 1936167500 2323401000 2420209375 2904251250 3097868000 3872335000 4646802000 4840418750 5808502500 7260628125 7744670000 9293604000 9680837500 11617005000 14521256250 15489340000 19361675000 23234010000 29042512500 38723350000 46468020000 58085025000 77446700000 116170050000 232340100000