Search a number
-
+
303221230020 = 223252373241843
BaseRepresentation
bin1000110100110010110…
…01001100100111000100
31001222200000020110121200
410122121121030213010
514431444113330040
6351144203142500
730623050633452
oct4323131144704
91058600213550
10303221230020
11107660530075
124a924214a30
13227942c1687
1410966c959d2
157d4a3a2630
hex469964c9c4

303221230020 has 72 divisors (see below), whose sum is σ = 959761123776. Its totient is φ = 77343385152.

The previous prime is 303221230019. The next prime is 303221230027. The reversal of 303221230020 is 20032122303.

It is a happy number.

303221230020 is a `hidden beast` number, since 30 + 322 + 12 + 300 + 2 + 0 = 666.

It is a super-2 number, since 2×3032212300202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 303221229975 and 303221230002.

It is not an unprimeable number, because it can be changed into a prime (303221230027) by changing a digit.

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, 36616782 + ... + 36625061.

It is an arithmetic number, because the mean of its divisors is an integer number (13330015608).

Almost surely, 2303221230020 is an apocalyptic number.

303221230020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

303221230020 is an abundant number, since it is smaller than the sum of its proper divisors (656539893756).

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

303221230020 is a wasteful number, since it uses less digits than its factorization.

303221230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73241881 (or 73241876 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 303221230020 its reverse (20032122303), we get a palindrome (323253352323).

The spelling of 303221230020 in words is "three hundred three billion, two hundred twenty-one million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 73241843 146483686 219725529 292967372 366209215 439451058 659176587 732418430 878902116 1098627645 1318353174 1464836860 1684562389 2197255290 2636706348 3295882935 3369124778 4394510580 5053687167 6591765870 6738249556 8422811945 10107374334 13183531740 15161061501 16845623890 20214748668 25268435835 30322123002 33691247780 50536871670 60644246004 75805307505 101073743340 151610615010 303221230020