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232230320000 = 27547414697
BaseRepresentation
bin1101100001001000000…
…0010111011110000000
3211012102112022120201222
43120102000113132000
512301101430220000
6254403553414212
722530612102350
oct3302200273600
9735375276658
10232230320000
118a540a636a8
123901156a368
1318b8c7a0443
14b35081ab60
156092ca8a85
hex3612017780

232230320000 has 160 divisors (see below), whose sum is σ = 660713441520. Its totient is φ = 79621632000.

The previous prime is 232230319987. The next prime is 232230320081. The reversal of 232230320000 is 23032232.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352652 + ... + 767348.

Almost surely, 2232230320000 is an apocalyptic number.

232230320000 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 232230320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330356720760).

232230320000 is an abundant number, since it is smaller than the sum of its proper divisors (428483121520).

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

232230320000 is an frugal number, since it uses more digits than its factorization.

232230320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414738 (or 414711 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 232230320000 its reverse (23032232), we get a palindrome (232253352232).

The spelling of 232230320000 in words is "two hundred thirty-two billion, two hundred thirty million, three hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 56000 70000 80000 112000 140000 280000 414697 560000 829394 1658788 2073485 2902879 3317576 4146970 5805758 6635152 8293940 10367425 11611516 13270304 14514395 16587880 20734850 23223032 26540608 29028790 33175760 41469700 46446064 51837125 53081216 58057580 66351520 72571975 82939400 92892128 103674250 116115160 132703040 145143950 165878800 185784256 207348500 232230320 259185625 265406080 290287900 331757600 362859875 371568512 414697000 464460640 518371250 580575800 663515200 725719750 829394000 928921280 1036742500 1161151600 1327030400 1451439500 1658788000 1814299375 1857842560 2073485000 2322303200 2902879000 3317576000 3628598750 4146970000 4644606400 5805758000 6635152000 7257197500 8293940000 9289212800 11611516000 14514395000 16587880000 23223032000 29028790000 33175760000 46446064000 58057580000 116115160000 232230320000