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7225037568 = 28337314817
BaseRepresentation
bin1101011101010010…
…10101001100000000
3200122112011221022000
412232221111030000
5104244102200233
63152533344000
7344020543320
oct65651251400
920575157260
107225037568
113078388731
121497798000
138b1b18578
144c77b9280
152c446bd13
hex1aea55300

7225037568 has 288 divisors, whose sum is σ = 25210859520. Its totient is φ = 1997291520.

The previous prime is 7225037563. The next prime is 7225037597. The reversal of 7225037568 is 8657305227.

7225037568 is a `hidden beast` number, since 7 + 2 + 2 + 50 + 37 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×72250375682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7225037563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497496 + ... + 1502312.

Almost surely, 27225037568 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 7225037568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605429760).

7225037568 is an abundant number, since it is smaller than the sum of its proper divisors (17985821952).

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

7225037568 is a wasteful number, since it uses less digits than its factorization.

7225037568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7225037568 is about 85000.2209879480. The cubic root of 7225037568 is about 1933.2144673121.

The spelling of 7225037568 in words is "seven billion, two hundred twenty-five million, thirty-seven thousand, five hundred sixty-eight".