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7225090048 = 21311237197
BaseRepresentation
bin1101011101010011…
…00010000000000000
3200122112021121021201
412232221202000000
5104244110340143
63152534430544
7344021152321
oct65651420000
920575247251
107225090048
113078414100
121497802454
138b1b36417
144c77d0448
152c447c64d
hex1aea62000

7225090048 has 168 divisors, whose sum is σ = 16394337036. Its totient is φ = 3179151360.

The previous prime is 7225090031. The next prime is 7225090109. The reversal of 7225090048 is 8400905227.

It can be written as a sum of positive squares in 2 ways, for example, as 5257990144 + 1967099904 = 72512^2 + 44352^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 7225089989 and 7225090016.

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 11 ways as a sum of consecutive naturals, for example, 36675486 + ... + 36675682.

Almost surely, 27225090048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7225090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197168518).

7225090048 is an abundant number, since it is smaller than the sum of its proper divisors (9169246988).

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

7225090048 is a wasteful number, since it uses less digits than its factorization.

7225090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7225090048 is about 85000.5296924672. The cubic root of 7225090048 is about 1933.2191480190.

The spelling of 7225090048 in words is "seven billion, two hundred twenty-five million, ninety thousand, forty-eight".