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8074225152 = 2935773127
BaseRepresentation
bin1111000010100001…
…01110011000000000
3202211201002010200000
413201100232120000
5113014000201102
63413110400000
7404041532010
oct74120563000
922751063600
108074225152
113473764954
121694060000
139b8a30b26
145684a9c40
15323cad01c
hex1e142e600

8074225152 has 480 divisors, whose sum is σ = 28216860672. Its totient is φ = 2257403904.

The previous prime is 8074225129. The next prime is 8074225177. The reversal of 8074225152 is 2515224708.

It is a happy number.

8074225152 is a `hidden beast` number, since 80 + 7 + 422 + 5 + 152 = 666.

It is a super-2 number, since 2×80742251522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63576513 + ... + 63576639.

Almost surely, 28074225152 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 8074225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108430336).

8074225152 is an abundant number, since it is smaller than the sum of its proper divisors (20142635520).

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

8074225152 is an equidigital number, since it uses as much as digits as its factorization.

8074225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 8074225152 is about 89856.6923050253. The cubic root of 8074225152 is about 2006.1663975644.

The spelling of 8074225152 in words is "eight billion, seventy-four million, two hundred twenty-five thousand, one hundred fifty-two".