Search a number
-
+
2238147070476 = 22317311797719687
BaseRepresentation
bin100000100100011011111…
…101100000101000001100
321220222001022120111111120
4200210123331200220030
5243132211122223401
64432105055120540
7320462241130002
oct40443375405014
97828038514446
102238147070476
11793213744709
12301926b13150
13133096aa30a5
147a481008a72
153d345427836
hex2091bf60a0c

2238147070476 has 96 divisors (see below), whose sum is σ = 5708519534592. Its totient is φ = 679441029120.

The previous prime is 2238147070447. The next prime is 2238147070517. The reversal of 2238147070476 is 6740707418322.

It is a super-3 number, since 3×22381470704763 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113676705 + ... + 113696391.

It is an arithmetic number, because the mean of its divisors is an integer number (59463745152).

Almost surely, 22238147070476 is an apocalyptic number.

It is an amenable number.

2238147070476 is an abundant number, since it is smaller than the sum of its proper divisors (3470372464116).

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

2238147070476 is a wasteful number, since it uses less digits than its factorization.

2238147070476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37719 (or 37717 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

It can be divided in two parts, 223814 and 7070476, that added together give a triangular number (7294290 = T3819).

The spelling of 2238147070476 in words is "two trillion, two hundred thirty-eight billion, one hundred forty-seven million, seventy thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6324 17977 19687 35954 39374 53931 59061 71908 78748 107862 118122 215724 236244 305609 334679 557287 610297 611218 669358 916827 1004037 1114574 1220594 1222436 1338716 1671861 1830891 1833654 2008074 2229148 2441188 3343722 3661782 3667308 4016148 6687444 7323564 9473879 10375049 18947758 20750098 28421637 31125147 37895516 41500196 56843274 62250294 113686548 124500588 353913199 707826398 1061739597 1415652796 2123479194 4246958388 6016524383 10971309169 12033048766 18049573149 21942618338 24066097532 32913927507 36099146298 43885236676 65827855014 72198292596 131655710028 186512255873 373024511746 559536767619 746049023492 1119073535238 2238147070476