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225453150240 = 25352329704189
BaseRepresentation
bin1101000111111000001…
…1100001000000100000
3210112221012212200120120
43101332003201000200
512143212001301430
6251323255240240
722200640105053
oct3217603410040
9715835780516
10225453150240
118768347575a
123783b979080
131834c6b6216
14acaa706a9a
155ce7d08610
hex347e0e1020

225453150240 has 192 divisors, whose sum is σ = 766609401600. Its totient is φ = 55523815424.

The previous prime is 225453150229. The next prime is 225453150281. The reversal of 225453150240 is 42051354522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31935 + ... + 672254.

It is an arithmetic number, because the mean of its divisors is an integer number (3992757300).

Almost surely, 2225453150240 is an apocalyptic number.

225453150240 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 225453150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383304700800).

225453150240 is an abundant number, since it is smaller than the sum of its proper divisors (541156251360).

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

225453150240 is a wasteful number, since it uses less digits than its factorization.

225453150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704259 (or 704251 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 225453150240 in words is "two hundred twenty-five billion, four hundred fifty-three million, one hundred fifty thousand, two hundred forty".