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3330221312 = 28116119387
BaseRepresentation
bin1100011001111111…
…0010010100000000
322121002101202211002
43012133302110000
523310014040222
61310242111132
7145345262015
oct30637622400
98532352732
103330221312
111459906620
1278b34b4a8
13410c33c72
1423840570c
15147572392
hexc67f2500

3330221312 has 72 divisors (see below), whose sum is σ = 7371007392. Its totient is φ = 1488844800.

The previous prime is 3330221309. The next prime is 3330221317. The reversal of 3330221312 is 2131220333.

It is a super-2 number, since 2×33302213122 = 22180747973798002688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330221317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162083 + ... + 181469.

Almost surely, 23330221312 is an apocalyptic number.

3330221312 is a gapful number since it is divisible by the number (32) 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 3330221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685503696).

3330221312 is an abundant number, since it is smaller than the sum of its proper divisors (4040786080).

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

3330221312 is a wasteful number, since it uses less digits than its factorization.

3330221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19475 (or 19461 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3330221312 is about 57708.0697303245. The cubic root of 3330221312 is about 1493.3365632016.

Adding to 3330221312 its reverse (2131220333), we get a palindrome (5461441645).

The spelling of 3330221312 in words is "three billion, three hundred thirty million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 256 352 488 671 704 976 1342 1408 1952 2684 2816 3904 5368 7808 10736 15616 19387 21472 38774 42944 77548 85888 155096 171776 213257 310192 426514 620384 853028 1182607 1240768 1706056 2365214 2481536 3412112 4730428 4963072 6824224 9460856 13008677 13648448 18921712 26017354 27296896 37843424 52034708 54593792 75686848 104069416 151373696 208138832 302747392 416277664 832555328 1665110656 3330221312