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3112212224 = 28111397951
BaseRepresentation
bin1011100110000000…
…1001011100000000
322000220011202120102
42321200021130000
522333211242344
61232453301532
7140060240012
oct27140113400
98026152512
103112212224
111357843120
1272a3348a8
133a7a127c4
142174961b2
1513335be4e
hexb9809700

3112212224 has 72 divisors (see below), whose sum is σ = 6826632960. Its totient is φ = 1404288000.

The previous prime is 3112212223. The next prime is 3112212241. The reversal of 3112212224 is 4222122113.

It is a junction number, because it is equal to n+sod(n) for n = 3112212196 and 3112212205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387449 + ... + 395399.

Almost surely, 23112212224 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 3112212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413316480).

3112212224 is an abundant number, since it is smaller than the sum of its proper divisors (3714420736).

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

3112212224 is a wasteful number, since it uses less digits than its factorization.

3112212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8103 counting only the distinct ones).

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

The square root of 3112212224 is about 55787.2048412537. The cubic root of 3112212224 is about 1460.0119195874.

Adding to 3112212224 its reverse (4222122113), we get a palindrome (7334334337).

The spelling of 3112212224 in words is "three billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 139 176 256 278 352 556 704 1112 1408 1529 2224 2816 3058 4448 6116 7951 8896 12232 15902 17792 24464 31804 35584 48928 63608 87461 97856 127216 174922 195712 254432 349844 391424 508864 699688 1017728 1105189 1399376 2035456 2210378 2798752 4420756 5597504 8841512 11195008 12157079 17683024 22390016 24314158 35366048 48628316 70732096 97256632 141464192 194513264 282928384 389026528 778053056 1556106112 3112212224