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223223030140 = 225117145731271
BaseRepresentation
bin1100111111100100100…
…0010010000101111100
3210100011210111211220211
43033321020102011330
512124130043431030
6250314112122204
722061450310145
oct3177110220574
9710153454824
10223223030140
11867396434a0
1237318b36364
131808566a026
14ab38468acc
155c1713c12a
hex33f921217c

223223030140 has 96 divisors (see below), whose sum is σ = 519737637888. Its totient is φ = 79851072000.

The previous prime is 223223030119. The next prime is 223223030141. The reversal of 223223030140 is 41030322322.

223223030140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232230301403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223223030141) 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 31 ways as a sum of consecutive naturals, for example, 7122705 + ... + 7153975.

It is an arithmetic number, because the mean of its divisors is an integer number (5413933728).

Almost surely, 2223223030140 is an apocalyptic number.

223223030140 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 223223030140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259868818944).

223223030140 is an abundant number, since it is smaller than the sum of its proper divisors (296514607748).

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

223223030140 is a wasteful number, since it uses less digits than its factorization.

223223030140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31819 (or 31817 counting only the distinct ones).

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

Adding to 223223030140 its reverse (41030322322), we get a palindrome (264253352462).

The spelling of 223223030140 in words is "two hundred twenty-three billion, two hundred twenty-three million, thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 457 710 781 914 1420 1562 1828 2285 3124 3905 4570 5027 7810 9140 10054 15620 20108 25135 31271 32447 50270 62542 64894 100540 125084 129788 156355 162235 312710 324470 343981 356917 625420 648940 687962 713834 1375924 1427668 1719905 1784585 2220241 3439810 3569170 4440482 6879620 7138340 8880964 11101205 14290847 22202410 24422651 28581694 44404820 48845302 57163388 71454235 97690604 122113255 142908470 157199317 244226510 285816940 314398634 488453020 628797268 785996585 1014650137 1571993170 2029300274 3143986340 4058600548 5073250685 10146501370 11161151507 20293002740 22322303014 44644606028 55805757535 111611515070 223223030140