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2453230080 = 29325724153
BaseRepresentation
bin1001001000111001…
…0101001000000000
320022222012000000100
42102032111020000
520011011330310
61043233122400
7114536053200
oct22216251000
96288160010
102453230080
11104986a084
125856b9400
13301335342
14193b58400
15e558cec0
hex92395200

2453230080 has 720 divisors, whose sum is σ = 10315449144. Its totient is φ = 536739840.

The previous prime is 2453230069. The next prime is 2453230081. The reversal of 2453230080 is 800323542.

2453230080 is a `hidden beast` number, since 24 + 532 + 30 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1598720256 + 854509824 = 39984^2 + 29232^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (2453230081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46287334 + ... + 46287386.

Almost surely, 22453230080 is an apocalyptic number.

2453230080 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 2453230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157724572).

2453230080 is an abundant number, since it is smaller than the sum of its proper divisors (7862219064).

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

2453230080 is a wasteful number, since it uses less digits than its factorization.

2453230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2453230080 is about 49530.0926710217. The cubic root of 2453230080 is about 1348.6919346221.

The spelling of 2453230080 in words is "two billion, four hundred fifty-three million, two hundred thirty thousand, eighty".