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248228874 = 23818917
BaseRepresentation
bin11101100101110…
…10110000001010
3122022002100000000
432302322300022
51002021310444
640344223430
76102624225
oct1662726012
9568070000
10248228874
11118134033
126b16ab76
133c5724ba
1424d785bc
1516bd4469
hexecbac0a

248228874 has 36 divisors (see below), whose sum is σ = 558516114. Its totient is φ = 82738584.

The previous prime is 248228843. The next prime is 248228881. The reversal of 248228874 is 478822842.

248228874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 178623225 + 69605649 = 13365^2 + 8343^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3664 + ... + 22580.

Almost surely, 2248228874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248228874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279258057).

248228874 is an abundant number, since it is smaller than the sum of its proper divisors (310287240).

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

248228874 is an frugal number, since it uses more digits than its factorization.

248228874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18943 (or 18922 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 248228874 is about 15755.2808289792. The cubic root of 248228874 is about 628.4693453416.

The spelling of 248228874 in words is "two hundred forty-eight million, two hundred twenty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 18917 37834 56751 113502 170253 340506 510759 1021518 1532277 3064554 4596831 9193662 13790493 27580986 41371479 82742958 124114437 248228874