Search a number
-
+
228715776 = 2832531873
BaseRepresentation
bin11011010000111…
…10110100000000
3120221100222001200
431220132310000
5432022401101
634410101200
75445023562
oct1550366400
9527328050
10228715776
11108116603
126471a800
13384cc8a3
1422539332
151512c986
hexda1ed00

228715776 has 108 divisors (see below), whose sum is σ = 672245028. Its totient is φ = 74760192.

The previous prime is 228715741. The next prime is 228715777. The reversal of 228715776 is 677517822.

228715776 is a `hidden beast` number, since 2 + 2 + 8 + 71 + 577 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 158155776 = 8400^2 + 12576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228715777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121176 + ... + 123048.

It is an arithmetic number, because the mean of its divisors is an integer number (6224491).

Almost surely, 2228715776 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 228715776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336122514).

228715776 is an abundant number, since it is smaller than the sum of its proper divisors (443529252).

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

228715776 is a wasteful number, since it uses less digits than its factorization.

228715776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1931 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 228715776 is about 15123.3520093926. The cubic root of 228715776 is about 611.5500986658.

The spelling of 228715776 in words is "two hundred twenty-eight million, seven hundred fifteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1873 1908 2304 2544 3392 3746 3816 5088 5619 6784 7492 7632 10176 11238 13568 14984 15264 16857 20352 22476 29968 30528 33714 40704 44952 59936 61056 67428 89904 99269 119872 122112 134856 179808 198538 239744 269712 297807 359616 397076 479488 539424 595614 719232 794152 893421 1078848 1191228 1438464 1588304 1786842 2157696 2382456 3176608 3573684 4315392 4764912 6353216 7147368 9529824 12706432 14294736 19059648 25412864 28589472 38119296 57178944 76238592 114357888 228715776