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223031030112 = 253211284324763
BaseRepresentation
bin1100111110110110101…
…1110111000101100000
3210022200102020020101200
43033231223313011200
512123231420430422
6250243053001200
722053626322252
oct3175553670540
9708612206350
10223031030112
1186650224a90
1237284783200
1318054954147
14ab1ab69cd2
155c053632ac
hex33edaf7160

223031030112 has 144 divisors (see below), whose sum is σ = 692174403648. Its totient is φ = 67558659840.

The previous prime is 223031030003. The next prime is 223031030113. The reversal of 223031030112 is 211030130322.

223031030112 is a `hidden beast` number, since 22 + 30 + 310 + 301 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223031030113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8994243 + ... + 9019005.

It is an arithmetic number, because the mean of its divisors is an integer number (4806766692).

Almost surely, 2223031030112 is an apocalyptic number.

223031030112 is a gapful number since it is divisible by the number (22) 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 223031030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346087201824).

223031030112 is an abundant number, since it is smaller than the sum of its proper divisors (469143373536).

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

223031030112 is a wasteful number, since it uses less digits than its factorization.

223031030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27633 (or 27622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223031030112 its reverse (211030130322), we get a palindrome (434061160434).

The spelling of 223031030112 in words is "two hundred twenty-three billion, thirty-one million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 2843 3168 5686 8529 11372 17058 22744 24763 25587 31273 34116 45488 49526 51174 62546 68232 74289 90976 93819 99052 102348 125092 136464 148578 187638 198104 204696 222867 250184 272393 272928 281457 297156 375276 396208 409392 445734 500368 544786 562914 594312 750552 792416 817179 818784 891468 1000736 1089572 1125828 1188624 1501104 1634358 1782936 2179144 2251656 2377248 2451537 3002208 3268716 3565872 4358288 4503312 4903074 6537432 7131744 8716576 9006624 9806148 13074864 19612296 26149728 39224592 70401209 78449184 140802418 211203627 281604836 422407254 563209672 633610881 774413299 844814508 1126419344 1267221762 1548826598 1689629016 2252838688 2323239897 2534443524 3097653196 3379258032 4646479794 5068887048 6195306392 6758516064 6969719691 9292959588 10137774096 12390612784 13939439382 18585919176 20275548192 24781225568 27878878764 37171838352 55757757528 74343676704 111515515056 223031030112