Search a number
-
+
255347820 = 22325721317131
BaseRepresentation
bin11110011100001…
…00110001101100
3122210111000100200
433032010301230
51010332112240
641200553500
76220264200
oct1716046154
9583430320
10255347820
11121156662
1271622890
1340b958b0
1425cacb00
151763d930
hexf384c6c

255347820 has 432 divisors, whose sum is σ = 1035242208. Its totient is φ = 50319360.

The previous prime is 255347819. The next prime is 255347849. The reversal of 255347820 is 28743552.

255347820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1949155 + ... + 1949285.

It is an arithmetic number, because the mean of its divisors is an integer number (2396394).

Almost surely, 2255347820 is an apocalyptic number.

255347820 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 255347820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517621104).

255347820 is an abundant number, since it is smaller than the sum of its proper divisors (779894388).

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

255347820 is a wasteful number, since it uses less digits than its factorization.

255347820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 255347820 is about 15979.6063781308. The cubic root of 255347820 is about 634.4207584908.

The spelling of 255347820 in words is "two hundred fifty-five million, three hundred forty-seven thousand, eight hundred twenty".