Search a number
-
+
304284222 = 233112811823
BaseRepresentation
bin10010001000110…
…000001000111110
3210012120020111000
4102020300020332
51110344043342
650105511130
710353242004
oct2210601076
9705506430
10304284222
11146840270
1285aa24a6
134b06ab48
142c5aaa74
151baa844c
hex1223023e

304284222 has 64 divisors (see below), whose sum is σ = 740689920. Its totient is φ = 91828800.

The previous prime is 304284217. The next prime is 304284283. The reversal of 304284222 is 222482403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166003 + ... + 167825.

It is an arithmetic number, because the mean of its divisors is an integer number (11573280).

Almost surely, 2304284222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304284222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370344960).

304284222 is an abundant number, since it is smaller than the sum of its proper divisors (436405698).

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

304284222 is a wasteful number, since it uses less digits than its factorization.

304284222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 304284222 is about 17443.7444948039. The cubic root of 304284222 is about 672.6045659509.

The spelling of 304284222 in words is "three hundred four million, two hundred eighty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 281 297 562 594 843 1686 1823 2529 3091 3646 5058 5469 6182 7587 9273 10938 15174 16407 18546 20053 27819 32814 40106 49221 55638 60159 83457 98442 120318 166914 180477 360954 512263 541431 1024526 1082862 1536789 3073578 4610367 5634893 9220734 11269786 13831101 16904679 27662202 33809358 50714037 101428074 152142111 304284222