[go: up one dir, main page]

Search a number
-
+
255332100 = 223527389131
BaseRepresentation
bin11110011100000…
…00111100000100
3122210110012210110
433032000330010
51010331111400
641200353020
76220200312
oct1716007404
9583405713
10255332100
11121145871
1271615770
1340b8b6aa
1425ca70b2
1517638e50
hexf380f04

255332100 has 144 divisors (see below), whose sum is σ = 763076160. Its totient is φ = 65894400.

The previous prime is 255332093. The next prime is 255332107. The reversal of 255332100 is 1233552.

It is an interprime number because it is at equal distance from previous prime (255332093) and next prime (255332107).

It is not an unprimeable number, because it can be changed into a prime (255332107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1949035 + ... + 1949165.

It is an arithmetic number, because the mean of its divisors is an integer number (5299140).

Almost surely, 2255332100 is an apocalyptic number.

255332100 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 255332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381538080).

255332100 is an abundant number, since it is smaller than the sum of its proper divisors (507744060).

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

255332100 is a wasteful number, since it uses less digits than its factorization.

255332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 255332100 is about 15979.1144936132. The cubic root of 255332100 is about 634.4077392569.

Adding to 255332100 its reverse (1233552), we get a palindrome (256565652).

The spelling of 255332100 in words is "two hundred fifty-five million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 89 100 131 146 150 178 219 262 267 292 300 356 365 393 438 445 524 534 655 730 786 876 890 1068 1095 1310 1335 1460 1572 1780 1825 1965 2190 2225 2620 2670 3275 3650 3930 4380 4450 5340 5475 6497 6550 6675 7300 7860 8900 9563 9825 10950 11659 12994 13100 13350 19126 19491 19650 21900 23318 25988 26700 28689 32485 34977 38252 38982 39300 46636 47815 57378 58295 64970 69954 77964 95630 97455 114756 116590 129940 139908 143445 162425 174885 191260 194910 233180 239075 286890 291475 324850 349770 389820 478150 487275 573780 582950 649700 699540 717225 851107 874425 956300 974550 1165900 1434450 1702214 1748850 1949100 2553321 2868900 3404428 3497700 4255535 5106642 8511070 10213284 12766605 17022140 21277675 25533210 42555350 51066420 63833025 85110700 127666050 255332100