Search a number
-
+
22253826 = 2371979353
BaseRepresentation
bin101010011100…
…1000100000010
31112212121111210
41110321010002
521144110301
62112550550
7360103650
oct124710402
945777453
1022253826
111161a6a1
127552456
1347c225a
142d53dd0
151e48ad6
hex1539102

22253826 has 64 divisors (see below), whose sum is σ = 54374400. Its totient is φ = 5930496.

The previous prime is 22253813. The next prime is 22253843. The reversal of 22253826 is 62835222.

It is a junction number, because it is equal to n+sod(n) for n = 22253793 and 22253802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62866 + ... + 63218.

It is an arithmetic number, because the mean of its divisors is an integer number (849600).

Almost surely, 222253826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22253826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27187200).

22253826 is an abundant number, since it is smaller than the sum of its proper divisors (32120574).

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

22253826 is a wasteful number, since it uses less digits than its factorization.

22253826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

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

The square root of 22253826 is about 4717.3961037844. The cubic root of 22253826 is about 281.2774369283.

The spelling of 22253826 in words is "twenty-two million, two hundred fifty-three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 79 114 133 158 237 266 353 399 474 553 706 798 1059 1106 1501 1659 2118 2471 3002 3318 4503 4942 6707 7413 9006 10507 13414 14826 20121 21014 27887 31521 40242 46949 55774 63042 83661 93898 140847 167322 195209 281694 390418 529853 585627 1059706 1171254 1589559 3179118 3708971 7417942 11126913 22253826