Search a number
-
+
222576675738660 = 223254130159441157
BaseRepresentation
bin110010100110111010101011…
…101100010101010000100100
31002012002010022020002020011100
4302212322223230111100210
5213133144012442114120
62105214151355040100
764611430341625545
oct6246725354252044
91065063266066140
10222576675738660
1164a1326898aa21
1220b68a26440030
139726b764615b9
143cd6aa8dda4cc
151aaeae425d490
hexca6eabb15424

222576675738660 has 72 divisors (see below), whose sum is σ = 691616304635256. Its totient is φ = 57906127019520.

The previous prime is 222576675738647. The next prime is 222576675738691. The reversal of 222576675738660 is 66837576675222.

222576675738660 is a `hidden beast` number, since 22 + 25 + 7 + 6 + 6 + 7 + 573 + 8 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8907825221604 + 213668850517056 = 2984598^2 + 14617416^2 .

It is a super-3 number, since 3×2225766757386603 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15079713199 + ... + 15079727958.

It is an arithmetic number, because the mean of its divisors is an integer number (9605782008823).

Almost surely, 2222576675738660 is an apocalyptic number.

222576675738660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222576675738660 is an abundant number, since it is smaller than the sum of its proper divisors (469039628896596).

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

222576675738660 is a wasteful number, since it uses less digits than its factorization.

222576675738660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30159441213 (or 30159441208 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 222576675738660 in words is "two hundred twenty-two trillion, five hundred seventy-six billion, six hundred seventy-five million, seven hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 30159441157 60318882314 90478323471 120637764628 150797205785 180956646942 271434970413 301594411570 361913293884 452391617355 542869940826 603188823140 904783234710 1085739881652 1236537087437 1357174852065 1809566469420 2473074174874 2714349704130 3709611262311 4946148349748 5428699408260 6182685437185 7419222524622 11128833786933 12365370874370 14838445049244 18548056311555 22257667573866 24730741748740 37096112623110 44515335147732 55644168934665 74192225246220 111288337869330 222576675738660