Search a number
-
+
3000222321066 = 232235322579891
BaseRepresentation
bin101011101010001011001…
…011111000100110101010
3101121211002122121100121200
4223222023023320212222
5343123423403233231
610214141052345030
7426521206645335
oct53521313704652
911554078540550
103000222321066
11a574293148a3
12405568475176
13189bc5900c29
14a52d664961c
155309900bbe6
hex2ba8b2f89aa

3000222321066 has 72 divisors (see below), whose sum is σ = 6913512025056. Its totient is φ = 938543342880.

The previous prime is 3000222321053. The next prime is 3000222321067. The reversal of 3000222321066 is 6601232220003.

3000222321066 is a `hidden beast` number, since 300 + 0 + 22 + 232 + 106 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3000222321067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127020 + ... + 2452871.

It is an arithmetic number, because the mean of its divisors is an integer number (96021000348).

Almost surely, 23000222321066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000222321066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456756012528).

3000222321066 is an abundant number, since it is smaller than the sum of its proper divisors (3913289703990).

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

3000222321066 is a wasteful number, since it uses less digits than its factorization.

3000222321066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580028 (or 2579972 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3000222321066 its reverse (6601232220003), we get a palindrome (9601454541069).

The spelling of 3000222321066 in words is "three trillion, two hundred twenty-two million, three hundred twenty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 954 1219 2438 2809 3657 5618 7314 8427 10971 16854 21942 25281 50562 64607 129214 193821 387642 581463 1162926 2579891 5159782 7739673 15479346 23219019 46438038 59337493 118674986 136734223 178012479 273468446 356024958 410202669 534037437 820405338 1068074874 1230608007 2461216014 3144887129 6289774258 7246913819 9434661387 14493827638 18869322774 21740741457 28303984161 43481482914 56607968322 65222224371 130444448742 166679017837 333358035674 500037053511 1000074107022 1500111160533 3000222321066