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3312213444 = 223531110957
BaseRepresentation
bin1100010101101100…
…0101110111000100
322112211111212200000
43011123011313010
523240411312234
61304400121300
7145036230651
oct30533056704
98484455600
103312213444
11144a726a91
12785306230
1340a29a517
14235c78c28
15145bb6899
hexc56c5dc4

3312213444 has 72 divisors (see below), whose sum is σ = 8711347008. Its totient is φ = 1100420640.

The previous prime is 3312213391. The next prime is 3312213557. The reversal of 3312213444 is 4443122133.

3312213444 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 213 + 444 = 666.

3312213444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33122134442 = 21941515797228682272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296814 + ... + 307770.

Almost surely, 23312213444 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 3312213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355673504).

3312213444 is an abundant number, since it is smaller than the sum of its proper divisors (5399133564).

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

3312213444 is a wasteful number, since it uses less digits than its factorization.

3312213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11287 (or 11273 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3312213444 is about 57551.8326728176. The cubic root of 3312213444 is about 1490.6400031242.

Adding to 3312213444 its reverse (4443122133), we get a palindrome (7755335577).

The spelling of 3312213444 in words is "three billion, three hundred twelve million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 311 324 486 622 933 972 1244 1866 2799 3732 5598 8397 10957 11196 16794 21914 25191 32871 33588 43828 50382 65742 75573 98613 100764 131484 151146 197226 295839 302292 394452 591678 887517 1183356 1775034 2662551 3407627 3550068 5325102 6815254 10222881 10650204 13630508 20445762 30668643 40891524 61337286 92005929 122674572 184011858 276017787 368023716 552035574 828053361 1104071148 1656106722 3312213444