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485222400 = 211365213
BaseRepresentation
bin11100111010111…
…110100000000000
31020211000212000000
4130322332200000
51443204104100
6120052000000
715011215365
oct3472764000
91224025000
10485222400
11229993853
12116600000
13796aca60
144862a46c
152c8e9900
hex1cebe800

485222400 has 504 divisors, whose sum is σ = 1942512390. Its totient is φ = 119439360.

The previous prime is 485222389. The next prime is 485222429. The reversal of 485222400 is 4222584.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 269485056 + 215737344 = 16416^2 + 14688^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324794 + ... + 37324806.

Almost surely, 2485222400 is an apocalyptic number.

485222400 is a gapful number since it is divisible by the number (40) 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 485222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971256195).

485222400 is an abundant number, since it is smaller than the sum of its proper divisors (1457289990).

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

485222400 is an equidigital number, since it uses as much as digits as its factorization.

485222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 485222400 is about 22027.7642987208. The cubic root of 485222400 is about 785.8028758040.

Adding to 485222400 its reverse (4222584), we get a palindrome (489444984).

The spelling of 485222400 in words is "four hundred eighty-five million, two hundred twenty-two thousand, four hundred".