Search a number
-
+
2556231120 = 2432519186859
BaseRepresentation
bin1001100001011100…
…1111110111010000
320121010222222212200
42120113033313100
520213343343440
61101352523200
7120226414602
oct23027176720
96533888780
102556231120
1110a1a20303
125b40b0500
13319789ac1
141a36cb172
15ee636c30
hex985cfdd0

2556231120 has 120 divisors (see below), whose sum is σ = 9036549600. Its totient is φ = 645781248.

The previous prime is 2556231113. The next prime is 2556231121. The reversal of 2556231120 is 211326552.

It is a happy number.

2556231120 is a `hidden beast` number, since 2 + 5 + 5 + 623 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556231121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79750 + ... + 107109.

It is an arithmetic number, because the mean of its divisors is an integer number (75304580).

Almost surely, 22556231120 is an apocalyptic number.

2556231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2556231120 is an abundant number, since it is smaller than the sum of its proper divisors (6480318480).

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

2556231120 is a wasteful number, since it uses less digits than its factorization.

2556231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186897 (or 186888 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2556231120 is about 50559.1843288635. The cubic root of 2556231120 is about 1367.3091053203.

Adding to 2556231120 its reverse (211326552), we get a palindrome (2767557672).

The spelling of 2556231120 in words is "two billion, five hundred fifty-six million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 186859 373718 560577 747436 934295 1121154 1494872 1681731 1868590 2242308 2802885 2989744 3363462 3550321 3737180 4484616 5605770 6726924 7100642 7474360 8408655 8969232 10650963 11211540 13453848 14201284 14948720 16817310 17751605 21301926 22423080 26907696 28402568 31952889 33634620 35503210 42603852 44846160 53254815 56805136 63905778 67269240 71006420 85207704 106509630 127811556 134538480 142012840 159764445 170415408 213019260 255623112 284025680 319528890 426038520 511246224 639057780 852077040 1278115560 2556231120