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3221133030 = 2325733071597
BaseRepresentation
bin1011111111111110…
…1001011011100110
322022111010111211100
42333333221123212
523044102224110
61251344020530
7142552115253
oct27777513346
98274114740
103221133030
111403277a15
1275a901746
133c445a89b
14227b2a42a
1513cbc4bc0
hexbffe96e6

3221133030 has 96 divisors (see below), whose sum is σ = 8522658144. Its totient is φ = 843913728.

The previous prime is 3221133017. The next prime is 3221133031. The reversal of 3221133030 is 303311223.

3221133030 is a `hidden beast` number, since 322 + 11 + 330 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3221132994 and 3221133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221133031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2016192 + ... + 2017788.

It is an arithmetic number, because the mean of its divisors is an integer number (88777689).

Almost surely, 23221133030 is an apocalyptic number.

3221133030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261329072).

3221133030 is an abundant number, since it is smaller than the sum of its proper divisors (5301525114).

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

3221133030 is a wasteful number, since it uses less digits than its factorization.

3221133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3221133030 is about 56755.0264734323. The cubic root of 3221133030 is about 1476.8494322942.

Adding to 3221133030 its reverse (303311223), we get a palindrome (3524444253).

The spelling of 3221133030 in words is "three billion, two hundred twenty-one million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 307 365 438 614 657 730 921 1095 1314 1535 1597 1842 2190 2763 3070 3194 3285 4605 4791 5526 6570 7985 9210 9582 13815 14373 15970 22411 23955 27630 28746 44822 47910 67233 71865 112055 116581 134466 143730 201699 224110 233162 336165 349743 403398 490279 582905 672330 699486 980558 1008495 1049229 1165810 1470837 1748715 2016990 2098458 2451395 2941674 3497430 4412511 4902790 5246145 7354185 8825022 10492290 14708370 22062555 35790367 44125110 71580734 107371101 178951835 214742202 322113303 357903670 536855505 644226606 1073711010 1610566515 3221133030