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223110142040 = 23567178346691
BaseRepresentation
bin1100111111001001100…
…1101001100001011000
3210022212221002112120002
43033302121221201120
512123412144021130
6250255000352132
722055606626262
oct3176231514130
9708787075502
10223110142040
1186690949a45
12372a7175648
1318068163236
14ab27480b32
155c0c28db45
hex33f2669858

223110142040 has 64 divisors (see below), whose sum is σ = 509786991360. Its totient is φ = 87860868480.

The previous prime is 223110142037. The next prime is 223110142097. The reversal of 223110142040 is 40241011322.

223110142040 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 3×2231101420403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 4755095 + ... + 4801785.

It is an arithmetic number, because the mean of its divisors is an integer number (7965421740).

Almost surely, 2223110142040 is an apocalyptic number.

223110142040 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 223110142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254893495680).

223110142040 is an abundant number, since it is smaller than the sum of its proper divisors (286676849320).

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

223110142040 is a wasteful number, since it uses less digits than its factorization.

223110142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48552 (or 48548 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 223110142040 its reverse (40241011322), we get a palindrome (263351153362).

The spelling of 223110142040 in words is "two hundred twenty-three billion, one hundred ten million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 1783 2680 3566 7132 8915 14264 17830 35660 46691 71320 93382 119461 186764 233455 238922 373528 466910 477844 597305 933820 955688 1194610 1867640 2389220 3128297 4778440 6256594 12513188 15641485 25026376 31282970 62565940 83250053 125131880 166500106 333000212 416250265 666000424 832500530 1665001060 3330002120 5577753551 11155507102 22311014204 27888767755 44622028408 55777535510 111555071020 223110142040