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228148578 = 23272297907
BaseRepresentation
bin11011001100101…
…00010101100010
3120220022011000100
431212110111202
5431401223303
634350003230
75440142130
oct1546242542
9526264010
10228148578
11107869449
12644a6516
1338361678
142242c750
15150698a3
hexd994562

228148578 has 48 divisors (see below), whose sum is σ = 567478080. Its totient is φ = 64892448.

The previous prime is 228148577. The next prime is 228148621. The reversal of 228148578 is 875841822.

It is a happy number.

228148578 is a `hidden beast` number, since 22 + 81 + 485 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (228148573) 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 23 ways as a sum of consecutive naturals, for example, 24901 + ... + 32807.

It is an arithmetic number, because the mean of its divisors is an integer number (11822460).

Almost surely, 2228148578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228148578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283739040).

228148578 is an abundant number, since it is smaller than the sum of its proper divisors (339329502).

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

228148578 is a wasteful number, since it uses less digits than its factorization.

228148578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8151 (or 8148 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 228148578 is about 15104.5879784918. The cubic root of 228148578 is about 611.0441473758.

The spelling of 228148578 in words is "two hundred twenty-eight million, one hundred forty-eight thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1603 2061 3206 4122 4809 7907 9618 14427 15814 23721 28854 47442 55349 71163 110698 142326 166047 332094 498141 996282 1810703 3621406 5432109 10864218 12674921 16296327 25349842 32592654 38024763 76049526 114074289 228148578