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455220000 = 253454281
BaseRepresentation
bin11011001000100…
…001101100100000
31011201120120110000
4123020201230200
51413014020000
6113100540000
714165210004
oct3310415440
91151516400
10455220000
11213a61584
12108551600
1373406961
144465a704
1529e70000
hex1b221b20

455220000 has 300 divisors, whose sum is σ = 1678904766. Its totient is φ = 120960000.

The previous prime is 455219983. The next prime is 455220011. The reversal of 455220000 is 22554.

It can be written as a sum of positive squares in 5 ways, for example, as 17740944 + 437479056 = 4212^2 + 20916^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1619860 + ... + 1620140.

Almost surely, 2455220000 is an apocalyptic number.

455220000 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 455220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839452383).

455220000 is an abundant number, since it is smaller than the sum of its proper divisors (1223684766).

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

455220000 is an equidigital number, since it uses as much as digits as its factorization.

455220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 455220000 is about 21335.8852640335. The cubic root of 455220000 is about 769.2611116236.

Adding to 455220000 its reverse (22554), we get a palindrome (455242554).

The spelling of 455220000 in words is "four hundred fifty-five million, two hundred twenty thousand".