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2453220900 = 2232521321272
BaseRepresentation
bin1001001000111001…
…0010111000100100
320022222011112102100
42102032102320210
520011011032100
61043233012100
7114536014344
oct22216227044
96288145370
102453220900
111049863199
125856b4030
13301331100
14193b54d24
15e558a400
hex92392e24

2453220900 has 243 divisors, whose sum is σ = 8392562451. Its totient is φ = 599114880.

The previous prime is 2453220893. The next prime is 2453220901. The reversal of 2453220900 is 90223542.

The square root of 2453220900 is 49530.

It is a perfect power (a square), and thus also a powerful number.

2453220900 is a `hidden beast` number, since 2 + 453 + 2 + 209 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 632321316 + 1820899584 = 25146^2 + 42672^2 .

It is not an unprimeable number, because it can be changed into a prime (2453220901) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 19316637 + ... + 19316763.

Almost surely, 22453220900 is an apocalyptic number.

2453220900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2453220900 is the 49530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2453220900

2453220900 is an abundant number, since it is smaller than the sum of its proper divisors (5939341551).

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

2453220900 is a wasteful number, since it uses less digits than its factorization.

2453220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 2453220900 is about 1348.6902523492.

The spelling of 2453220900 in words is "two billion, four hundred fifty-three million, two hundred twenty thousand, nine hundred".