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255131400 = 233525371113
BaseRepresentation
bin11110011010011…
…11111100001000
3122210002000111010
433031033330020
51010303201100
641152203520
76215403216
oct1715177410
9583060433
10255131400
11121018aa7
12715395a0
1340b1b234
1425c53cb6
15175e9750
hexf34ff08

255131400 has 192 divisors, whose sum is σ = 824411520. Its totient is φ = 65228800.

The previous prime is 255131381. The next prime is 255131413. The reversal of 255131400 is 4131552.

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, 2257744 + ... + 2257856.

It is an arithmetic number, because the mean of its divisors is an integer number (4293810).

Almost surely, 2255131400 is an apocalyptic number.

255131400 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 255131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412205760).

255131400 is an abundant number, since it is smaller than the sum of its proper divisors (569280120).

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

255131400 is a wasteful number, since it uses less digits than its factorization.

255131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 255131400 is about 15972.8331863824. The cubic root of 255131400 is about 634.2414734294.

Adding to 255131400 its reverse (4131552), we get a palindrome (259262952).

The spelling of 255131400 in words is "two hundred fifty-five million, one hundred thirty-one thousand, four hundred".