Search a number
-
+
200302233120200 = 23521956479334357
BaseRepresentation
bin101101100010110001111111…
…011100111110110111001000
3222021012201002000120100100002
4231202301333130332313020
5202223222433134321300
61550001324154102132
760122234030411531
oct5542617734766710
9867181060510302
10200302233120200
1158905777800932
121a56bab871a948
13879c55b947393
143766973585688
1518254c280d5d5
hexb62c7f73edc8

200302233120200 has 96 divisors (see below), whose sum is σ = 490300222051200. Its totient is φ = 75890554525440.

The previous prime is 200302233120149. The next prime is 200302233120221. The reversal of 200302233120200 is 2021332203002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16791422 + ... + 26125778.

It is an arithmetic number, because the mean of its divisors is an integer number (5107293979700).

Almost surely, 2200302233120200 is an apocalyptic number.

200302233120200 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 200302233120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245150111025600).

200302233120200 is an abundant number, since it is smaller than the sum of its proper divisors (289997988931000).

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

200302233120200 is a wasteful number, since it uses less digits than its factorization.

200302233120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340039 (or 9340030 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 200302233120200 its reverse (2021332203002), we get a palindrome (202323565323202).

The spelling of 200302233120200 in words is "two hundred trillion, three hundred two billion, two hundred thirty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 5647 11294 22588 28235 45176 56470 107293 112940 141175 214586 225880 282350 429172 536465 564700 858344 1072930 1129400 2145860 2682325 4291720 5364650 9334357 10729300 18668714 21458600 37337428 46671785 74674856 93343570 177352783 186687140 233358925 354705566 373374280 466717850 709411132 886763915 933435700 1418822264 1773527830 1866871400 3547055660 4433819575 7094111320 8867639150 17735278300 35470556600 52711113979 105422227958 210844455916 263555569895 421688911832 527111139790 1001511165601 1054222279580 1317777849475 2003022331202 2108444559160 2635555698950 4006044662404 5007555828005 5271111397900 8012089324808 10015111656010 10542222795800 20030223312020 25037779140025 40060446624040 50075558280050 100151116560100 200302233120200