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230055320000 = 265411522853
BaseRepresentation
bin1101011001000001011…
…1011001100111000000
3210222210221200010122102
43112100113121213000
512232123130220000
6253404055525532
722422661645442
oct3262027314700
9728727603572
10230055320000
1189625259a40
12387050898a8
1318903cb2cac
14b1c5a0a492
155eb6d793d5
hex35905d99c0

230055320000 has 140 divisors (see below), whose sum is σ = 622323836376. Its totient is φ = 83656320000.

The previous prime is 230055319997. The next prime is 230055320063. The reversal of 230055320000 is 23550032.

It is a super-3 number, since 3×2300553200003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 178574 + ... + 701426.

Almost surely, 2230055320000 is an apocalyptic number.

230055320000 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 230055320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311161918188).

230055320000 is an abundant number, since it is smaller than the sum of its proper divisors (392268516376).

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

230055320000 is an equidigital number, since it uses as much as digits as its factorization.

230055320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522896 (or 522871 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 230055320000 its reverse (23550032), we get a palindrome (230078870032).

It can be divided in two parts, 230055 and 320000, that added together give a palindrome (550055).

The spelling of 230055320000 in words is "two hundred thirty billion, fifty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 522853 1045706 2091412 2614265 4182824 5228530 5751383 8365648 10457060 11502766 13071325 16731296 20914120 23005532 26142650 28756915 33462592 41828240 46011064 52285300 57513830 65356625 83656480 92022128 104570600 115027660 130713250 143784575 167312960 184044256 209141200 230055320 261426500 287569150 326783125 368088512 418282400 460110640 522853000 575138300 653566250 718922875 836564800 920221280 1045706000 1150276600 1307132500 1437845750 1840442560 2091412000 2300553200 2614265000 2875691500 3594614375 4182824000 4601106400 5228530000 5751383000 7189228750 9202212800 10457060000 11502766000 14378457500 20914120000 23005532000 28756915000 46011064000 57513830000 115027660000 230055320000