Search a number
-
+
225176856578880 = 2635369191635333
BaseRepresentation
bin110011001100110000010010…
…100011000100101101000000
31002112021200211022001202202120
4303030300102203010231000
5214003244200241011010
62114524453030244240
765300330264246613
oct6314602243045500
91075250738052676
10225176856578880
1165825a72210228
12213089497b6680
139885117c5c5cb
143d86891b6617a
151b07577dcae70
hexcccc128c4b40

225176856578880 has 112 divisors (see below), whose sum is σ = 714939581430144. Its totient is φ = 60046904596480.

The previous prime is 225176856578833. The next prime is 225176856578917. The reversal of 225176856578880 is 88875658671522.

It is a junction number, because it is equal to n+sod(n) for n = 225176856578796 and 225176856578805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354105694 + ... + 354741026.

It is an arithmetic number, because the mean of its divisors is an integer number (6383389119912).

Almost surely, 2225176856578880 is an apocalyptic number.

225176856578880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225176856578880 is an abundant number, since it is smaller than the sum of its proper divisors (489762724851264).

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

225176856578880 is a wasteful number, since it uses less digits than its factorization.

225176856578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004544 (or 1004534 counting only the distinct ones).

The product of its (nonzero) digits is 3612672000, while the sum is 78.

The spelling of 225176856578880 in words is "two hundred twenty-five trillion, one hundred seventy-six billion, eight hundred fifty-six million, five hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 369191 635333 738382 1107573 1270666 1476764 1845955 1905999 2215146 2541332 2953528 3176665 3691910 3811998 4430292 5082664 5537865 5907056 6353330 7383820 7623996 8860584 9529995 10165328 11075730 11814112 12706660 14767640 15247992 17721168 19059990 20330656 22151460 23628224 25413320 29535280 30495984 35442336 38119980 40661312 44302920 50826640 59070560 60991968 70884672 76239960 88605840 101653280 118141120 121983936 152479920 177211680 203306560 304959840 354423360 609919680 234559225603 469118451206 703677676809 938236902412 1172796128015 1407355353618 1876473804824 2345592256030 2814710707236 3518388384045 3752947609648 4691184512060 5629421414472 7036776768090 7505895219296 9382369024120 11258842828944 14073553536180 15011790438592 18764738048240 22517685657888 28147107072360 37529476096480 45035371315776 56294214144720 75058952192960 112588428289440 225176856578880