Search a number
-
+
223130222320 = 24523991162621
BaseRepresentation
bin1100111111001110011…
…0001111111011110000
3210022221022212201112011
43033303212033323300
512123432314103240
6250300555012304
722056242411335
oct3176346177360
9708838781464
10223130222320
11866a1214615
12372b1a3a094
131806c374065
14ab29dca98c
155c0de086ea
hex33f398fef0

223130222320 has 40 divisors (see below), whose sum is σ = 518994460800. Its totient is φ = 89214808320.

The previous prime is 223130222311. The next prime is 223130222327. The reversal of 223130222320 is 23222031322.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2231302223203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223130222291 and 223130222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223130222327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389391 + ... + 773230.

It is an arithmetic number, because the mean of its divisors is an integer number (12974861520).

Almost surely, 2223130222320 is an apocalyptic number.

223130222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223130222320 is an abundant number, since it is smaller than the sum of its proper divisors (295864238480).

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

223130222320 is a wasteful number, since it uses less digits than its factorization.

223130222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165033 (or 1165027 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 223130222320 its reverse (23222031322), we get a palindrome (246352253642).

The spelling of 223130222320 in words is "two hundred twenty-three billion, one hundred thirty million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2399 4798 9596 11995 19192 23990 38384 47980 95960 191920 1162621 2325242 4650484 5813105 9300968 11626210 18601936 23252420 46504840 93009680 2789127779 5578255558 11156511116 13945638895 22313022232 27891277790 44626044464 55782555580 111565111160 223130222320