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230322022000 = 2453716451573
BaseRepresentation
bin1101011010000001000…
…0110010011001110000
3211000111112112000000021
43112200100302121300
512233144414201000
6253450344133224
722432410612340
oct3264020623160
9730445460007
10230322022000
1189751860114
123877a467214
1318947322925
14b20d1d2d20
155ed04ac11a
hex35a0432670

230322022000 has 80 divisors (see below), whose sum is σ = 636478494912. Its totient is φ = 78967545600.

The previous prime is 230322021967. The next prime is 230322022009. The reversal of 230322022000 is 220223032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230322022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8211787 + ... + 8239786.

Almost surely, 2230322022000 is an apocalyptic number.

230322022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230322022000 is an abundant number, since it is smaller than the sum of its proper divisors (406156472912).

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

230322022000 is a wasteful number, since it uses less digits than its factorization.

230322022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451603 (or 16451587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 230322022000 its reverse (220223032), we get a palindrome (230542245032).

The spelling of 230322022000 in words is "two hundred thirty billion, three hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 16451573 32903146 65806292 82257865 115161011 131612584 164515730 230322022 263225168 329031460 411289325 460644044 575805055 658062920 822578650 921288088 1151610110 1316125840 1645157300 1842576176 2056446625 2303220220 2879025275 3290314600 4112893250 4606440440 5758050550 6580629200 8225786500 9212880880 11516101100 14395126375 16451573000 23032202200 28790252750 32903146000 46064404400 57580505500 115161011000 230322022000