Search a number
-
+
22550256 = 24321491051
BaseRepresentation
bin101011000000…
…1011011110000
31120102200010200
41112001123300
521233102011
62123155200
7362450121
oct126013360
946380120
1022550256
1111802383
127675b00
134897161
142dd0048
151ea6856
hex15816f0

22550256 has 60 divisors (see below), whose sum is σ = 63593400. Its totient is φ = 7459200.

The previous prime is 22550251. The next prime is 22550261. The reversal of 22550256 is 65205522.

It is an interprime number because it is at equal distance from previous prime (22550251) and next prime (22550261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22550251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20931 + ... + 21981.

It is an arithmetic number, because the mean of its divisors is an integer number (1059890).

Almost surely, 222550256 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 22550256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31796700).

22550256 is an abundant number, since it is smaller than the sum of its proper divisors (41043144).

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

22550256 is a wasteful number, since it uses less digits than its factorization.

22550256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 22550256 is about 4748.7109829932. The cubic root of 22550256 is about 282.5208421723.

Adding to 22550256 its reverse (65205522), we get a palindrome (87755778).

The spelling of 22550256 in words is "twenty-two million, five hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1051 1192 1341 1788 2102 2384 2682 3153 3576 4204 5364 6306 7152 8408 9459 10728 12612 16816 18918 21456 25224 37836 50448 75672 151344 156599 313198 469797 626396 939594 1252792 1409391 1879188 2505584 2818782 3758376 5637564 7516752 11275128 22550256