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255316900 = 22525367719
BaseRepresentation
bin11110011011111…
…01001110100100
3122210102102221111
433031331032210
51010330120100
641200154404
76220105066
oct1715751644
9583372844
10255316900
11121135403
1271608a04
1340b847b7
1425ca1736
15176346ba
hexf37d3a4

255316900 has 72 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 98567040.

The previous prime is 255316871. The next prime is 255316921. The reversal of 255316900 is 9613552.

It is a super-2 number, since 2×2553169002 = 130373438851220000, which contains 22 as substring.

It is an unprimeable number.

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, 354741 + ... + 355459.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2255316900 is an apocalyptic number.

255316900 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 255316900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

255316900 is an abundant number, since it is smaller than the sum of its proper divisors (318396380).

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

255316900 is a wasteful number, since it uses less digits than its factorization.

255316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 255316900 is about 15978.6388656857. The cubic root of 255316900 is about 634.3951501765.

The spelling of 255316900 in words is "two hundred fifty-five million, three hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 67 100 106 134 212 265 268 335 530 670 719 1060 1325 1340 1438 1675 2650 2876 3350 3551 3595 5300 6700 7102 7190 14204 14380 17755 17975 35510 35950 38107 48173 71020 71900 76214 88775 96346 152428 177550 190535 192692 240865 355100 381070 481730 762140 952675 963460 1204325 1905350 2408650 2553169 3810700 4817300 5106338 10212676 12765845 25531690 51063380 63829225 127658450 255316900