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228873876 = 223711673697
BaseRepresentation
bin11011010010001…
…01011010010100
3120221122222221020
431221011122110
5432042431001
634413321140
75446252530
oct1551053224
9527588836
10228873876
11108214370
12647961b0
133855683a
142257abc0
151515e736
hexda45694

228873876 has 96 divisors (see below), whose sum is σ = 675935232. Its totient is φ = 58544640.

The previous prime is 228873859. The next prime is 228873877. The reversal of 228873876 is 678378822.

It is a super-2 number, since 2×2288738762 = 104766502230526752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228873877) 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 31 ways as a sum of consecutive naturals, for example, 60060 + ... + 63756.

It is an arithmetic number, because the mean of its divisors is an integer number (7040992).

Almost surely, 2228873876 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 228873876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337967616).

228873876 is an abundant number, since it is smaller than the sum of its proper divisors (447061356).

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

228873876 is a wasteful number, since it uses less digits than its factorization.

228873876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3787 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 228873876 is about 15128.5781222162. The cubic root of 228873876 is about 611.6909777411.

The spelling of 228873876 in words is "two hundred twenty-eight million, eight hundred seventy-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 67 77 84 132 134 154 201 231 268 308 402 462 469 737 804 924 938 1407 1474 1876 2211 2814 2948 3697 4422 5159 5628 7394 8844 10318 11091 14788 15477 20636 22182 25879 30954 40667 44364 51758 61908 77637 81334 103516 122001 155274 162668 244002 247699 284669 310548 488004 495398 569338 743097 854007 990796 1138676 1486194 1708014 1733893 2724689 2972388 3416028 3467786 5201679 5449378 6935572 8174067 10403358 10898756 16348134 19072823 20806716 32696268 38145646 57218469 76291292 114436938 228873876