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255112800 = 25352106297
BaseRepresentation
bin11110011010010…
…11011001100000
3122210001001222020
433031023121200
51010302102200
641151541440
76215265045
oct1715133140
9583031866
10255112800
11121006028
127152a880
1340b12927
1425c4b1cc
15175e3ea0
hexf34b660

255112800 has 72 divisors (see below), whose sum is σ = 830399976. Its totient is φ = 68029440.

The previous prime is 255112799. The next prime is 255112801. The reversal of 255112800 is 8211552.

255112800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255112799) and next prime (255112801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255112801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50749 + ... + 55548.

It is an arithmetic number, because the mean of its divisors is an integer number (11533333).

Almost surely, 2255112800 is an apocalyptic number.

255112800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255112800 is an abundant number, since it is smaller than the sum of its proper divisors (575287176).

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

255112800 is a wasteful number, since it uses less digits than its factorization.

255112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106320 (or 106307 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 255112800 is about 15972.2509371723. The cubic root of 255112800 is about 634.2260602239.

It can be divided in two parts, 2551 and 12800, that added together give a palindrome (15351).

The spelling of 255112800 in words is "two hundred fifty-five million, one hundred twelve thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 106297 212594 318891 425188 531485 637782 850376 1062970 1275564 1594455 1700752 2125940 2551128 2657425 3188910 3401504 4251880 5102256 5314850 6377820 7972275 8503760 10204512 10629700 12755640 15944550 17007520 21259400 25511280 31889100 42518800 51022560 63778200 85037600 127556400 255112800