[go: up one dir, main page]

Search a number
-
+
30224856 = 23337101337
BaseRepresentation
bin111001101001…
…1000111011000
32002212120201010
41303103013120
530214143411
62555453520
7514623054
oct163230730
962776633
1030224856
1116074422
12a1572a0
13635343c
14402ac64
1529c07a6
hex1cd31d8

30224856 has 64 divisors (see below), whose sum is σ = 78605280. Its totient is φ = 9676800.

The previous prime is 30224851. The next prime is 30224867. The reversal of 30224856 is 65842203.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30224851) 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 15 ways as a sum of consecutive naturals, for example, 89520 + ... + 89856.

Almost surely, 230224856 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 30224856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39302640).

30224856 is an abundant number, since it is smaller than the sum of its proper divisors (48380424).

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

30224856 is a wasteful number, since it uses less digits than its factorization.

30224856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 30224856 is about 5497.7137066239. The cubic root of 30224856 is about 311.4976300654.

The spelling of 30224856 in words is "thirty million, two hundred twenty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 296 303 337 404 444 606 674 808 888 1011 1212 1348 2022 2424 2696 3737 4044 7474 8088 11211 12469 14948 22422 24938 29896 34037 37407 44844 49876 68074 74814 89688 99752 102111 136148 149628 204222 272296 299256 408444 816888 1259369 2518738 3778107 5037476 7556214 10074952 15112428 30224856