Search a number
-
+
3228217848 = 233322765839
BaseRepresentation
bin1100000001101010…
…1011000111111000
322022222110110101000
43000122223013320
523102410432343
61252155525000
7142666253562
oct30032530770
98288413330
103228217848
111407276939
12761159760
133c5a6b59b
14228a52332
1513d623ed3
hexc06ab1f8

3228217848 has 64 divisors (see below), whose sum is σ = 9006912000. Its totient is φ = 1071315936.

The previous prime is 3228217841. The next prime is 3228217849. The reversal of 3228217848 is 8487128223.

It is a super-2 number, since 2×32282178482 = 20842780948291502208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228217841) 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, 16113 + ... + 81951.

It is an arithmetic number, because the mean of its divisors is an integer number (140733000).

Almost surely, 23228217848 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 3228217848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503456000).

3228217848 is an abundant number, since it is smaller than the sum of its proper divisors (5778694152).

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

3228217848 is a wasteful number, since it uses less digits than its factorization.

3228217848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66081 (or 66071 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 3228217848 is about 56817.4079662211. The cubic root of 3228217848 is about 1477.9314064005.

The spelling of 3228217848 in words is "three billion, two hundred twenty-eight million, two hundred seventeen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 908 1362 1816 2043 2724 4086 5448 6129 8172 12258 16344 24516 49032 65839 131678 197517 263356 395034 526712 592551 790068 1185102 1580136 1777653 2370204 3555306 4740408 7110612 14221224 14945453 29890906 44836359 59781812 89672718 119563624 134509077 179345436 269018154 358690872 403527231 538036308 807054462 1076072616 1614108924 3228217848