Search a number
-
+
223301210240 = 2751163300007
BaseRepresentation
bin1100111111110111001…
…0100001000010000000
3210100101020121210212002
43033331302201002000
512124310102211430
6250325543523132
722063416653363
oct3177562410200
9710336553762
10223301210240
1186779791349
123733b1594a8
1318098910c44
14ab449ba0da
155c1de31845
hex33fdca1080

223301210240 has 64 divisors (see below), whose sum is σ = 534290247360. Its totient is φ = 89243384832.

The previous prime is 223301210189. The next prime is 223301210281. The reversal of 223301210240 is 42012103322.

It is a tau number, because it is divible by the number of its divisors (64).

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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594317 + ... + 894323.

It is an arithmetic number, because the mean of its divisors is an integer number (8348285115).

Almost surely, 2223301210240 is an apocalyptic number.

223301210240 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 223301210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267145123680).

223301210240 is an abundant number, since it is smaller than the sum of its proper divisors (310989037120).

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

223301210240 is a wasteful number, since it uses less digits than its factorization.

223301210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301189 (or 301177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 223301210240 its reverse (42012103322), we get a palindrome (265313313562).

The spelling of 223301210240 in words is "two hundred twenty-three billion, three hundred one million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1163 2326 4652 5815 9304 11630 18608 23260 37216 46520 74432 93040 148864 186080 300007 372160 600014 744320 1200028 1500035 2400056 3000070 4800112 6000140 9600224 12000280 19200448 24000560 38400896 48001120 96002240 192004480 348908141 697816282 1395632564 1744540705 2791265128 3489081410 5582530256 6978162820 11165060512 13956325640 22330121024 27912651280 44660242048 55825302560 111650605120 223301210240