Search a number
-
+
22305228 = 22311374567
BaseRepresentation
bin101010100010…
…1100111001100
31112222020000120
41111011213030
521202231403
62114024540
7360406551
oct125054714
945866016
1022305228
1111655280
127578150
13480c77a
142d68a28
151e58e53
hex15459cc

22305228 has 48 divisors (see below), whose sum is σ = 58324224. Its totient is φ = 6575040.

The previous prime is 22305187. The next prime is 22305251. The reversal of 22305228 is 82250322.

It is a super-2 number, since 2×223052282 = 995046392263968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22305198 and 22305207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601 + ... + 7167.

It is an arithmetic number, because the mean of its divisors is an integer number (1215088).

Almost surely, 222305228 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 22305228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29162112).

22305228 is an abundant number, since it is smaller than the sum of its proper divisors (36018996).

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

22305228 is a wasteful number, since it uses less digits than its factorization.

22305228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22305228 is about 4722.8410940873. The cubic root of 22305228 is about 281.4938357501.

The spelling of 22305228 in words is "twenty-two million, three hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4567 4884 9134 13701 18268 27402 50237 54804 100474 150711 168979 200948 301422 337958 506937 602844 675916 1013874 1858769 2027748 3717538 5576307 7435076 11152614 22305228