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3221200112 = 241319242899
BaseRepresentation
bin1011111111111111…
…1001110011110000
322022111020220211212
42333333321303300
523044111400422
61251345255252
7142552514654
oct27777716360
98274226755
103221200112
111403313359
1275a934528
133c4482290
14227b46a64
1513cbd99e2
hexbfff9cf0

3221200112 has 60 divisors (see below), whose sum is σ = 7093686600. Its totient is φ = 1408427136.

The previous prime is 3221200109. The next prime is 3221200121. The reversal of 3221200112 is 2110021223.

It is a happy number.

It is a super-2 number, since 2×32212001122 = 20752260323097625088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53639 + ... + 96537.

It is an arithmetic number, because the mean of its divisors is an integer number (118228110).

Almost surely, 23221200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546843300).

3221200112 is an abundant number, since it is smaller than the sum of its proper divisors (3872486488).

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

3221200112 is a wasteful number, since it uses less digits than its factorization.

3221200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42958 (or 42933 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3221200112 is about 56755.6174488482. The cubic root of 3221200112 is about 1476.8596843106.

Adding to 3221200112 its reverse (2110021223), we get a palindrome (5331221335).

The spelling of 3221200112 in words is "three billion, two hundred twenty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 361 494 722 988 1444 1976 2888 3952 4693 5776 9386 18772 37544 42899 75088 85798 171596 343192 557687 686384 815081 1115374 1630162 2230748 3260324 4461496 6520648 8922992 10596053 13041296 15486539 21192106 30973078 42384212 61946156 84768424 123892312 169536848 201325007 247784624 402650014 805300028 1610600056 3221200112