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230021232333000 = 23353487157440953
BaseRepresentation
bin110100010011001111111101…
…110110000001000011001000
31010011102211000011201002101020
4310103033331312001003020
5220122131440434124000
62133114143443152440
766310325365612353
oct6423177566010310
91104384004632336
10230021232333000
1167323503013449
122196b7a5375720
139b46ba84ab084
1440b3130c0129a
151b8d5a7da9ba0
hexd133fdd810c8

230021232333000 has 128 divisors (see below), whose sum is σ = 719139896766720. Its totient is φ = 61213042137600.

The previous prime is 230021232332951. The next prime is 230021232333019. The reversal of 230021232333000 is 333232120032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77259477 + ... + 80181476.

It is an arithmetic number, because the mean of its divisors is an integer number (5618280443490).

Almost surely, 2230021232333000 is an apocalyptic number.

230021232333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230021232333000 is an abundant number, since it is smaller than the sum of its proper divisors (489118664433720).

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

230021232333000 is a wasteful number, since it uses less digits than its factorization.

230021232333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157441464 (or 157441450 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230021232333000 its reverse (333232120032), we get a palindrome (230354464453032).

The spelling of 230021232333000 in words is "two hundred thirty trillion, twenty-one billion, two hundred thirty-two million, three hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 487 500 600 750 974 1000 1461 1500 1948 2435 2922 3000 3896 4870 5844 7305 9740 11688 12175 14610 19480 24350 29220 36525 48700 58440 60875 73050 97400 121750 146100 182625 243500 292200 365250 487000 730500 1461000 157440953 314881906 472322859 629763812 787204765 944645718 1259527624 1574409530 1889291436 2361614295 3148819060 3778582872 3936023825 4723228590 6297638120 7872047650 9446457180 11808071475 15744095300 18892914360 19680119125 23616142950 31488190600 39360238250 47232285900 59040357375 76673744111 78720476500 94464571800 118080714750 153347488222 157440953000 230021232333 236161429500 306694976444 383368720555 460042464666 472322859000 613389952888 766737441110 920084929332 1150106161665 1533474882220 1840169858664 1916843602775 2300212323330 3066949764440 3833687205550 4600424646660 5750530808325 7667374411100 9200849293320 9584218013875 11501061616650 15334748822200 19168436027750 23002123233300 28752654041625 38336872055500 46004246466600 57505308083250 76673744111000 115010616166500 230021232333000