Search a number
-
+
226442622 = 23723832011
BaseRepresentation
bin11010111111100…
…11110101111110
3120210002110212210
431133303311332
5430432130442
634245241250
75416505400
oct1537636576
9523073783
10226442622
1110690376a
1263a03226
1337bb5023
1422106b70
1514d2e19c
hexd7f3d7e

226442622 has 48 divisors (see below), whose sum is σ = 528463872. Its totient is φ = 64496880.

The previous prime is 226442603. The next prime is 226442633. The reversal of 226442622 is 226244622.

226442622 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-3 number, since 3×2264426223 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 self number, because there is not a number n which added to its sum of digits gives 226442622.

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, 111597 + ... + 113607.

It is an arithmetic number, because the mean of its divisors is an integer number (11009664).

Almost surely, 2226442622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226442622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264231936).

226442622 is an abundant number, since it is smaller than the sum of its proper divisors (302021250).

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

226442622 is a wasteful number, since it uses less digits than its factorization.

226442622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2406 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 226442622 is about 15048.0105661845. The cubic root of 226442622 is about 609.5173302671.

The spelling of 226442622 in words is "two hundred twenty-six million, four hundred forty-two thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 383 766 1149 2011 2298 2681 4022 5362 6033 8043 12066 14077 16086 18767 28154 37534 42231 56301 84462 98539 112602 197078 295617 591234 770213 1540426 2310639 4621278 5391491 10782982 16174473 32348946 37740437 75480874 113221311 226442622