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255664112220 = 2232511308941801
BaseRepresentation
bin1110111000011011000…
…1001100001001011100
3220102220200010120101100
43232012301030021130
513142100003042340
6313241145113100
724320411045316
oct3560661141134
9812820116340
10255664112220
11994767a9630
1241671488790
131b1556a2c9a
14c534b887b6
1569b5204830
hex3b86c4c25c

255664112220 has 144 divisors (see below), whose sum is σ = 846309915360. Its totient is φ = 61957632000.

The previous prime is 255664112203. The next prime is 255664112257. The reversal of 255664112220 is 22211466552.

255664112220 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 641 + 1 + 2 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6095320 + ... + 6137120.

It is an arithmetic number, because the mean of its divisors is an integer number (5877152190).

Almost surely, 2255664112220 is an apocalyptic number.

255664112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255664112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423154957680).

255664112220 is an abundant number, since it is smaller than the sum of its proper divisors (590645803140).

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

255664112220 is a wasteful number, since it uses less digits than its factorization.

255664112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44916 (or 44911 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 255664112220 its reverse (22211466552), we get a palindrome (277875578772).

The spelling of 255664112220 in words is "two hundred fifty-five billion, six hundred sixty-four million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3089 6178 9267 12356 15445 18534 27801 30890 33979 37068 41801 46335 55602 61780 67958 83602 92670 101937 111204 125403 135916 139005 167204 169895 185340 203874 209005 250806 278010 305811 339790 376209 407748 418010 459811 501612 509685 556020 611622 627015 679580 752418 836020 919622 1019370 1223244 1254030 1379433 1504836 1529055 1839244 1881045 2038740 2299055 2508060 2758866 3058110 3762090 4138299 4598110 5517732 6116220 6897165 7524180 8276598 9196220 13794330 16553196 20691495 27588660 41382990 82765980 129123289 258246578 387369867 516493156 645616445 774739734 1162109601 1291232890 1420356179 1549479468 1936849335 2324219202 2582465780 2840712358 3873698670 4261068537 4648438404 5681424716 5810548005 7101780895 7747397340 8522137074 11621096010 12783205611 14203561790 17044274148 21305342685 23242192020 25566411222 28407123580 42610685370 51132822444 63916028055 85221370740 127832056110 255664112220