Search a number
-
+
3222133144000 = 26531632470961
BaseRepresentation
bin101110111000110110000…
…110011111100111000000
3102102000212222222011122121
4232320312012133213000
5410242412041102000
610504121051414024
7451535314553521
oct56706606374700
912360788864577
103222133144000
111032554182621
12440579a54314
131a4acc44a894
14b1d486d6848
1558c35d46b1a
hex2ee3619f9c0

3222133144000 has 112 divisors (see below), whose sum is σ = 8028570659616. Its totient is φ = 1280945664000.

The previous prime is 3222133143883. The next prime is 3222133144001. The reversal of 3222133144000 is 4413312223.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222133144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68520 + ... + 2539480.

Almost surely, 23222133144000 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 3222133144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014285329808).

3222133144000 is an abundant number, since it is smaller than the sum of its proper divisors (4806437515616).

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

3222133144000 is a wasteful number, since it uses less digits than its factorization.

3222133144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471151 (or 2471131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3222133144000 its reverse (4413312223), we get a palindrome (3226546456223).

The spelling of 3222133144000 in words is "three trillion, two hundred twenty-two billion, one hundred thirty-three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 163 200 250 320 326 400 500 652 800 815 1000 1304 1600 1630 2000 2608 3260 4000 4075 5216 6520 8000 8150 10432 13040 16300 20375 26080 32600 40750 52160 65200 81500 130400 163000 260800 326000 652000 1304000 2470961 4941922 9883844 12354805 19767688 24709610 39535376 49419220 61774025 79070752 98838440 123548050 158141504 197676880 247096100 308870125 395353760 402766643 494192200 617740250 790707520 805533286 988384400 1235480500 1611066572 1976768800 2013833215 2470961000 3222133144 3953537600 4027666430 4941922000 6444266288 8055332860 9883844000 10069166075 12888532576 16110665720 19767688000 20138332150 25777065152 32221331440 40276664300 50345830375 64442662880 80553328600 100691660750 128885325760 161106657200 201383321500 322213314400 402766643000 644426628800 805533286000 1611066572000 3222133144000