Search a number
-
+
3221230111220 = 2251183630127997
BaseRepresentation
bin101110111000000000010…
…001101100100111110100
3102101221120001202100120002
4232320000101230213310
5410234034402024340
610503451312330432
7451504041114062
oct56700021544764
912357501670502
103221230111220
111032130469740
12440367543a18
131a49b7331964
14b1ca07cb032
1558bd191b715
hex2ee0046c9f4

3221230111220 has 96 divisors (see below), whose sum is σ = 7469907613056. Its totient is φ = 1157018688000.

The previous prime is 3221230111217. The next prime is 3221230111237. The reversal of 3221230111220 is 221110321223.

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 = 3221230111192 and 3221230111201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115042262 + ... + 115070258.

It is an arithmetic number, because the mean of its divisors is an integer number (77811537636).

Almost surely, 23221230111220 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 3221230111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734953806528).

3221230111220 is an abundant number, since it is smaller than the sum of its proper divisors (4248677501836).

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

3221230111220 is a wasteful number, since it uses less digits than its factorization.

3221230111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34401 (or 34399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3221230111220 its reverse (221110321223), we get a palindrome (3442340432443).

The spelling of 3221230111220 in words is "three trillion, two hundred twenty-one billion, two hundred thirty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 6301 9130 12602 18260 25204 27997 31505 55994 63010 69311 111988 126020 138622 139985 277244 279970 307967 346555 522983 559940 615934 693110 1045966 1231868 1386220 1539835 2091932 2323751 2614915 3079670 4647502 5229830 5752813 6159340 9295004 10459660 11505626 11618755 23011252 23237510 25561261 28764065 46475020 51122522 57528130 102245044 115056260 127806305 176409097 255612610 352818194 511225220 705636388 882045485 1764090970 1940500067 3528181940 3881000134 7762000268 9702500335 14641955051 19405000670 29283910102 38810001340 58567820204 73209775255 146419550510 161061505561 292839101020 322123011122 644246022244 805307527805 1610615055610 3221230111220