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4221707112 = 23327424421
BaseRepresentation
bin1111101110100010…
…0010001101101000
3101220012212221102200
43323220202031220
532121224111422
61534525500200
7206421630000
oct37350421550
911805787380
104221707112
111877053047
12999a11660
1352383915c
142c0987000
1519a96b2ac
hexfba22368

4221707112 has 120 divisors (see below), whose sum is σ = 13339174290. Its totient is φ = 1206152640.

The previous prime is 4221707107. The next prime is 4221707117. The reversal of 4221707112 is 2117071224.

It is a happy number.

4221707112 is a `hidden beast` number, since 422 + 170 + 71 + 1 + 2 = 666.

4221707112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4221707107) and next prime (4221707117).

It can be written as a sum of positive squares in only one way, i.e., 4221620676 + 86436 = 64974^2 + 294^2 .

It is a super-2 number, since 2×42217071122 = 35645621879022761088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4221707117) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 160662 + ... + 185082.

Almost surely, 24221707112 is an apocalyptic number.

4221707112 is a gapful number since it is divisible by the number (42) 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 4221707112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669587145).

4221707112 is an abundant number, since it is smaller than the sum of its proper divisors (9117467178).

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

4221707112 is a wasteful number, since it uses less digits than its factorization.

4221707112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24461 (or 24433 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 4221707112 is about 64974.6651549664. The cubic root of 4221707112 is about 1616.2034644397.

Adding to 4221707112 its reverse (2117071224), we get a palindrome (6338778336).

The spelling of 4221707112 in words is "four billion, two hundred twenty-one million, seven hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2744 3087 3528 4116 4802 6174 7203 8232 9604 12348 14406 19208 21609 24421 24696 28812 43218 48842 57624 73263 86436 97684 146526 170947 172872 195368 219789 293052 341894 439578 512841 586104 683788 879156 1025682 1196629 1367576 1538523 1758312 2051364 2393258 3077046 3589887 4102728 4786516 6154092 7179774 8376403 9573032 10769661 12308184 14359548 16752806 21539322 25129209 28719096 33505612 43078644 50258418 58634821 67011224 75387627 86157288 100516836 117269642 150775254 175904463 201033672 234539284 301550508 351808926 469078568 527713389 603101016 703617852 1055426778 1407235704 2110853556 4221707112