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232200300000 = 25355774001
BaseRepresentation
bin1101100001000000110…
…1110110010111100000
3211012100102211102001010
43120100031312113200
512301021234100000
6254401002140520
722530065661444
oct3302015662740
9735312742033
10232200300000
118a52601a189
12390034b1740
1318b864bc326
14b34a844824
156090328d50
hex36103765e0

232200300000 has 144 divisors (see below), whose sum is σ = 761859456624. Its totient is φ = 61920000000.

The previous prime is 232200299983. The next prime is 232200300023. The reversal of 232200300000 is 3002232.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 87001 + ... + 687000.

It is an arithmetic number, because the mean of its divisors is an integer number (5290690671).

Almost surely, 2232200300000 is an apocalyptic number.

232200300000 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 232200300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380929728312).

232200300000 is an abundant number, since it is smaller than the sum of its proper divisors (529659156624).

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

232200300000 is an frugal number, since it uses more digits than its factorization.

232200300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774039 (or 774011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 232200300000 its reverse (3002232), we get a palindrome (232203302232).

The spelling of 232200300000 in words is "two hundred thirty-two billion, two hundred million, three 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 774001 1548002 2322003 3096004 3870005 4644006 6192008 7740010 9288012 11610015 12384016 15480020 18576024 19350025 23220030 24768032 30960040 37152048 38700050 46440060 58050075 61920080 74304096 77400100 92880120 96750125 116100150 123840160 154800200 185760240 193500250 232200300 290250375 309600400 371520480 387000500 464400600 483750625 580500750 619200800 774001000 928801200 967501250 1161001500 1451251875 1548002000 1857602400 1935002500 2322003000 2418753125 2902503750 3096004000 3870005000 4644006000 4837506250 5805007500 7256259375 7740010000 9288012000 9675012500 11610015000 14512518750 15480020000 19350025000 23220030000 29025037500 38700050000 46440060000 58050075000 77400100000 116100150000 232200300000