Search a number
-
+
22002200220012 = 2234363199674693
BaseRepresentation
bin1010000000010110010010…
…10101000001000101101100
32212220101112011102010001220
411000023021111001011230
510340441001224020022
6114443400553303340
74430415014053365
oct500131125010554
985811464363056
1022002200220012
117013098478771
122574210404b50
13c37a4c62592c
14560cab004b6c
152824db0c585c
hex1402c954116c

22002200220012 has 48 divisors (see below), whose sum is σ = 52533294105600. Its totient is φ = 7163383082688.

The previous prime is 22002200219977. The next prime is 22002200220017. The reversal of 22002200220012 is 21002200220022.

It is a super-2 number, since 2×220022002200122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22002200219973 and 22002200220000.

It is not an unprimeable number, because it can be changed into a prime (22002200220017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32273338 + ... + 32948030.

It is an arithmetic number, because the mean of its divisors is an integer number (1094443627200).

Almost surely, 222002200220012 is an apocalyptic number.

It is an amenable number.

22002200220012 is an abundant number, since it is smaller than the sum of its proper divisors (30531093885588).

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

22002200220012 is a wasteful number, since it uses less digits than its factorization.

22002200220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737942 (or 737940 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22002200220012 its reverse (21002200220022), we get a palindrome (43004400440034).

The spelling of 22002200220012 in words is "twenty-two trillion, two billion, two hundred million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 63199 126398 189597 252796 379194 674693 758388 1349386 2024079 2698772 2717557 4048158 5435114 8096316 8152671 10870228 16305342 29011799 32610684 58023598 87035397 116047196 174070794 348141588 42639922907 85279845814 127919768721 170559691628 255839537442 511679074884 1833516685001 3667033370002 5500550055003 7334066740004 11001100110006 22002200220012