Search a number
-
+
228274592 = 25713277283
BaseRepresentation
bin11011001101100…
…11000110100000
3120220112112212112
431212303012200
5431414241332
634352414452
75441205410
oct1546630640
9526475775
10228274592
11107945097
1264547428
13383a6b30
1422462640
1515091db2
hexd9b31a0

228274592 has 96 divisors (see below), whose sum is σ = 557085312. Its totient is φ = 89662464.

The previous prime is 228274559. The next prime is 228274601. The reversal of 228274592 is 295472822.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 806483 + ... + 806765.

It is an arithmetic number, because the mean of its divisors is an integer number (5802972).

Almost surely, 2228274592 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 228274592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278542656).

228274592 is an abundant number, since it is smaller than the sum of its proper divisors (328810720).

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

228274592 is a wasteful number, since it uses less digits than its factorization.

228274592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 228274592 is about 15108.7587842284. The cubic root of 228274592 is about 611.1566266289.

The spelling of 228274592 in words is "two hundred twenty-eight million, two hundred seventy-four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 277 283 364 416 554 566 728 1108 1132 1456 1939 1981 2216 2264 2912 3601 3679 3878 3962 4432 4528 7202 7358 7756 7924 8864 9056 14404 14716 15512 15848 25207 25753 28808 29432 31024 31696 50414 51506 57616 58864 62048 63392 78391 100828 103012 115232 117728 156782 201656 206024 313564 403312 412048 548737 627128 806624 824096 1019083 1097474 1254256 2038166 2194948 2508512 4076332 4389896 7133581 8152664 8779792 14267162 16305328 17559584 28534324 32610656 57068648 114137296 228274592