[go: up one dir, main page]

Search a number
-
+
226107924 = 22373122801
BaseRepresentation
bin11010111101000…
…10001000010100
3120202110110202120
431132202020110
5430340423144
634234135540
75413612530
oct1536421024
9522413676
10226107924
111066a5259
12638815b0
1337ac8893
142205abc0
1514cb4e19
hexd7a2214

226107924 has 72 divisors (see below), whose sum is σ = 623254464. Its totient is φ = 62496000.

The previous prime is 226107919. The next prime is 226107941. The reversal of 226107924 is 429701622.

226107924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261079242 = 102249586591179552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79324 + ... + 82124.

It is an arithmetic number, because the mean of its divisors is an integer number (8656312).

Almost surely, 2226107924 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 226107924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311627232).

226107924 is an abundant number, since it is smaller than the sum of its proper divisors (397146540).

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

226107924 is a wasteful number, since it uses less digits than its factorization.

226107924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 226107924 is about 15036.8854487889. The cubic root of 226107924 is about 609.2168791373.

The spelling of 226107924 in words is "two hundred twenty-six million, one hundred seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1922 2604 2801 2883 3844 5602 5766 6727 8403 11204 11532 13454 16806 19607 20181 26908 33612 39214 40362 58821 78428 80724 86831 117642 173662 235284 260493 347324 520986 607817 1041972 1215634 1823451 2431268 2691761 3646902 5383522 7293804 8075283 10767044 16150566 18842327 32301132 37684654 56526981 75369308 113053962 226107924