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223121142 = 2351973331
BaseRepresentation
bin11010100110010…
…00111011110110
3120112211201200000
431103020323312
5424104334032
634050132130
75346332646
oct1523107366
9515751600
10223121142
11104a45242
1262881046
13372c125a
14218c0526
15148c4e7c
hexd4c8ef6

223121142 has 96 divisors (see below), whose sum is σ = 536565120. Its totient is φ = 69284160.

The previous prime is 223121117. The next prime is 223121177. The reversal of 223121142 is 241121322.

It is a happy number.

It is a super-3 number, since 3×2231211423 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673917 + ... + 674247.

It is an arithmetic number, because the mean of its divisors is an integer number (5589220).

Almost surely, 2223121142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268282560).

223121142 is an abundant number, since it is smaller than the sum of its proper divisors (313443978).

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

223121142 is a wasteful number, since it uses less digits than its factorization.

223121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 223121142 is about 14937.2401065257. The cubic root of 223121142 is about 606.5224883129.

Adding to 223121142 its reverse (241121322), we get a palindrome (464242464).

The spelling of 223121142 in words is "two hundred twenty-three million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 81 114 146 162 171 219 243 331 342 438 486 513 657 662 993 1026 1314 1387 1539 1971 1986 2774 2979 3078 3942 4161 4617 5913 5958 6289 8322 8937 9234 11826 12483 12578 17739 17874 18867 24163 24966 26811 35478 37449 37734 48326 53622 56601 72489 74898 80433 112347 113202 144978 160866 169803 217467 224694 337041 339606 434934 459097 509409 652401 674082 918194 1018818 1304802 1377291 1528227 1957203 2754582 3056454 3914406 4131873 5871609 8263746 11743218 12395619 24791238 37186857 74373714 111560571 223121142