Search a number
-
+
223003130320 = 245127213710271
BaseRepresentation
bin1100111110110000000…
…1011011100111010000
3210022121110201210002001
43033230001123213100
512123202300132240
6250240215003344
722053140221615
oct3175401334720
9708543653061
10223003130320
11866364a9503
1237277369554
131804bc360a9
14ab1718650c
155c02ba189a
hex33ec05b9d0

223003130320 has 80 divisors (see below), whose sum is σ = 522860249088. Its totient is φ = 88448855040.

The previous prime is 223003130303. The next prime is 223003130327. The reversal of 223003130320 is 23031300322.

It is a happy number.

223003130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2230031303202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223003130327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21706785 + ... + 21717055.

Almost surely, 2223003130320 is an apocalyptic number.

223003130320 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 223003130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261430124544).

223003130320 is an abundant number, since it is smaller than the sum of its proper divisors (299857118768).

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

223003130320 is a wasteful number, since it uses less digits than its factorization.

223003130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12548 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 223003130320 its reverse (23031300322), we get a palindrome (246034430642).

The spelling of 223003130320 in words is "two hundred twenty-three billion, three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2137 2540 4274 5080 8548 10160 10271 10685 17096 20542 21370 34192 41084 42740 51355 82168 85480 102710 164336 170960 205420 271399 410840 542798 821680 1085596 1304417 1356995 2171192 2608834 2713990 4342384 5217668 5427980 6522085 10435336 10855960 13044170 20870672 21711920 21949127 26088340 43898254 52176680 87796508 104353360 109745635 175593016 219491270 351186032 438982540 877965080 1755930160 2787539129 5575078258 11150156516 13937695645 22300313032 27875391290 44600626064 55750782580 111501565160 223003130320