Search a number
-
+
2230404012 = 223417557727
BaseRepresentation
bin1000010011110001…
…0100001110101100
312202102220021010000
42010330110032230
514031440412022
61005153144300
7106162056414
oct20474241654
95672807100
102230404012
11a45006601
12522b5b090
132971184b5
14172313644
15d0c256ac
hex84f143ac

2230404012 has 120 divisors (see below), whose sum is σ = 6193291104. Its totient is φ = 697517568.

The previous prime is 2230403999. The next prime is 2230404013. The reversal of 2230404012 is 2104040322.

2230404012 is a `hidden beast` number, since 223 + 0 + 40 + 401 + 2 = 666.

It is a super-2 number, since 2×22304040122 = 9949404113491392288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2230404013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3067593 + ... + 3068319.

Almost surely, 22230404012 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 2230404012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096645552).

2230404012 is an abundant number, since it is smaller than the sum of its proper divisors (3962887092).

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

2230404012 is a wasteful number, since it uses less digits than its factorization.

2230404012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2230404012 is about 47227.1533336491. The cubic root of 2230404012 is about 1306.5554500938. Note that the first 3 decimals are identical.

Adding to 2230404012 its reverse (2104040322), we get a palindrome (4334444334).

The spelling of 2230404012 in words is "two billion, two hundred thirty million, four hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 557 612 727 918 1114 1377 1454 1671 1836 2181 2228 2754 2908 3342 4362 5013 5508 6543 6684 8724 9469 10026 12359 13086 15039 18938 19629 20052 24718 26172 28407 30078 37077 37876 39258 45117 49436 56814 58887 60156 74154 78516 85221 90234 111231 113628 117774 148308 170442 180468 222462 235548 255663 333693 340884 404939 444924 511326 667386 766989 809878 1001079 1022652 1214817 1334772 1533978 1619756 2002158 2429634 3067956 3644451 4004316 4859268 6883963 7288902 10933353 13767926 14577804 20651889 21866706 27535852 32800059 41303778 43733412 61955667 65600118 82607556 123911334 131200236 185867001 247822668 371734002 557601003 743468004 1115202006 2230404012