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225136247040 = 2834519234969
BaseRepresentation
bin1101000110101100101…
…0101000000100000000
3210112010010120100010000
43101223022220010000
512142034334401130
6251232015040000
722160041345035
oct3215312500400
9715103510100
10225136247040
11875305a6691
1237771810000
13182cbb4a733
14ac7a5b338c
155cca0ab260
hex346b2a8100

225136247040 has 720 divisors, whose sum is σ = 885024201600. Its totient is φ = 54392684544.

The previous prime is 225136247029. The next prime is 225136247041. The reversal of 225136247040 is 40742631522.

225136247040 is a `hidden beast` number, since 2 + 2 + 513 + 62 + 47 + 0 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225136246986 and 225136247004.

It is not an unprimeable number, because it can be changed into a prime (225136247041) 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 79 ways as a sum of consecutive naturals, for example, 45305676 + ... + 45310644.

It is an arithmetic number, because the mean of its divisors is an integer number (1229200280).

Almost surely, 2225136247040 is an apocalyptic number.

225136247040 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 225136247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442512100800).

225136247040 is an abundant number, since it is smaller than the sum of its proper divisors (659887954560).

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

225136247040 is a wasteful number, since it uses less digits than its factorization.

225136247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 225136247040 its reverse (40742631522), we get a palindrome (265878878562).

The spelling of 225136247040 in words is "two hundred twenty-five billion, one hundred thirty-six million, two hundred forty-seven thousand, forty".