Search a number
-
+
3220332300020 = 2251129860958631
BaseRepresentation
bin101110110111001010110…
…000110100011011110100
3102101212020111100211010102
4232313022300310123310
5410230220032100040
610503222241213232
7451442556622523
oct56671260643364
912355214324112
103220332300020
11103180a6a1910
12440156931218
131a48a3323624
14b1c174804ba
1558b7cbc3515
hex2edcac346f4

3220332300020 has 96 divisors (see below), whose sum is σ = 7632901382400. Its totient is φ = 1130498969600.

The previous prime is 3220332300011. The next prime is 3220332300043. The reversal of 3220332300020 is 200032330223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3220332299965 and 3220332300001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54896105 + ... + 54954735.

It is an arithmetic number, because the mean of its divisors is an integer number (79509389400).

Almost surely, 23220332300020 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 3220332300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816450691200).

3220332300020 is an abundant number, since it is smaller than the sum of its proper divisors (4412569082380).

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

3220332300020 is a wasteful number, since it uses less digits than its factorization.

3220332300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67289 (or 67287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 3220332300020 its reverse (200032330223), we get a palindrome (3420364630243).

The spelling of 3220332300020 in words is "three trillion, two hundred twenty billion, three hundred thirty-two million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 8609 17218 34436 43045 58631 86090 94699 117262 172180 189398 234524 249661 293155 378796 473495 499322 586310 644941 946990 998644 1172620 1248305 1289882 1700299 1893980 2496610 2579764 2746271 3224705 3400598 4993220 5492542 6449410 6801196 8501495 10985084 12898820 13731355 17002990 18703289 27462710 34005980 37406578 54925420 74813156 93516445 187032890 374065780 504754279 1009508558 2019017116 2523771395 5047542790 5552297069 10095085580 11104594138 14637874091 22209188276 27761485345 29275748182 55522970690 58551496364 73189370455 111045941380 146378740910 161016615001 292757481820 322033230002 644066460004 805083075005 1610166150010 3220332300020