Search a number
-
+
3220140230004 = 22329149199312073
BaseRepresentation
bin101110110110111111010…
…100001000010101110100
3102101211202002221122121010
4232312333110020111310
5410224321344330004
610503151220352220
7451435035223605
oct56667724102564
912354662848533
103220140230004
111031721235865
12440102545670
131a48725b4929
14b1bd9b63dac
1558b6add3a89
hex2edbf508574

3220140230004 has 96 divisors (see below), whose sum is σ = 7864264800000. Its totient is φ = 1024235283456.

The previous prime is 3220140229997. The next prime is 3220140230009. The reversal of 3220140230004 is 4000320410223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220140230009) 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 31 ways as a sum of consecutive naturals, for example, 10162512 + ... + 10474584.

It is an arithmetic number, because the mean of its divisors is an integer number (81919425000).

Almost surely, 23220140230004 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 3220140230004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932132400000).

3220140230004 is an abundant number, since it is smaller than the sum of its proper divisors (4644124569996).

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

3220140230004 is a wasteful number, since it uses less digits than its factorization.

3220140230004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312457 (or 312455 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3220140230004 its reverse (4000320410223), we get a palindrome (7220460640227).

The spelling of 3220140230004 in words is "three trillion, two hundred twenty billion, one hundred forty million, two hundred thirty thousand, four".

Divisors: 1 2 3 4 6 12 29 58 87 116 149 174 199 298 348 398 447 596 597 796 894 1194 1788 2388 4321 5771 8642 11542 12963 17284 17313 23084 25926 29651 34626 51852 59302 69252 88953 118604 177906 312073 355812 624146 859879 936219 1248292 1719758 1872438 2579637 3439516 3744876 5159274 9050117 10318548 18100234 27150351 36200468 46498877 54300702 62102527 92997754 108601404 124205054 139496631 185995508 186307581 248410108 278993262 372615162 557986524 745230324 1348467433 1800973283 2696934866 3601946566 4045402299 5393869732 5402919849 7203893132 8090804598 9253276523 10805839698 16181609196 18506553046 21611679396 27759829569 37013106092 55519659138 111039318276 268345019167 536690038334 805035057501 1073380076668 1610070115002 3220140230004