Search a number
-
+
22261420 = 2253767449
BaseRepresentation
bin101010011101…
…0111010101100
31112212222221001
41110322322230
521144331140
62113050044
7360135046
oct124727254
945788831
1022261420
1111625375
127556924
1347c584c
142d56a96
151e4ae9a
hex153aeac

22261420 has 48 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 8515584.

The previous prime is 22261417. The next prime is 22261427. The reversal of 22261420 is 2416222.

22261420 = T184 + T185 + ... + T518.

It is not an unprimeable number, because it can be changed into a prime (22261427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49356 + ... + 49804.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 222261420 is an apocalyptic number.

22261420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

22261420 is an abundant number, since it is smaller than the sum of its proper divisors (26576180).

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

22261420 is a wasteful number, since it uses less digits than its factorization.

22261420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22261420 is about 4718.2009283200. The cubic root of 22261420 is about 281.3094281004.

Adding to 22261420 its reverse (2416222), we get a palindrome (24677642).

The spelling of 22261420 in words is "twenty-two million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 67 74 134 148 185 268 335 370 449 670 740 898 1340 1796 2245 2479 4490 4958 8980 9916 12395 16613 24790 30083 33226 49580 60166 66452 83065 120332 150415 166130 300830 332260 601660 1113071 2226142 4452284 5565355 11130710 22261420