Search a number
-
+
223003220200 = 23524330418527
BaseRepresentation
bin1100111110110000000…
…1110001100011101000
3210022121110220100100221
43033230001301203220
512123202311021300
6250240220535424
722053141044635
oct3175401614350
9708543810327
10223003220200
118663655aa92
12372773b1574
131804bc67c87
14ab171ab18c
155c02bbd31a
hex33ec0718e8

223003220200 has 96 divisors (see below), whose sum is σ = 530776920960. Its totient is φ = 87087974400.

The previous prime is 223003220189. The next prime is 223003220201. The reversal of 223003220200 is 2022300322.

223003220200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223003220201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26148337 + ... + 26156863.

It is an arithmetic number, because the mean of its divisors is an integer number (5528926260).

Almost surely, 2223003220200 is an apocalyptic number.

223003220200 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 223003220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265388460480).

223003220200 is an abundant number, since it is smaller than the sum of its proper divisors (307773700760).

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

223003220200 is a wasteful number, since it uses less digits than its factorization.

223003220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11618 counting only the distinct ones).

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

Adding to 223003220200 its reverse (2022300322), we get a palindrome (225025520522).

The spelling of 223003220200 in words is "two hundred twenty-three billion, three million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 3041 4300 6082 8527 8600 12164 15205 17054 24328 30410 34108 42635 60820 68216 76025 85270 121640 130763 152050 170540 213175 261526 304100 341080 366661 426350 523052 608200 653815 733322 852700 1046104 1307630 1466644 1705400 1833305 2615260 2933288 3269075 3666610 5230520 6538150 7333220 9166525 13076300 14666440 18333050 25930607 26152600 36666100 51861214 73332200 103722428 129653035 207444856 259306070 518612140 648265175 1037224280 1115016101 1296530350 2230032202 2593060700 4460064404 5186121400 5575080505 8920128808 11150161010 22300322020 27875402525 44600644040 55750805050 111501610100 223003220200