Search a number
-
+
22261360 = 2451141617
BaseRepresentation
bin101010011101…
…0111001110000
31112212222211211
41110322321300
521144330420
62113045504
7360134632
oct124727160
945788754
1022261360
1111625320
127556894
1347c5804
142d56a52
151e4ae5a
hex153ae70

22261360 has 80 divisors (see below), whose sum is σ = 57933792. Its totient is φ = 7884800.

The previous prime is 22261321. The next prime is 22261361. The reversal of 22261360 is 6316222.

It is a happy number.

22261360 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22261361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35772 + ... + 36388.

Almost surely, 222261360 is an apocalyptic number.

22261360 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 22261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28966896).

22261360 is an abundant number, since it is smaller than the sum of its proper divisors (35672432).

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

22261360 is a wasteful number, since it uses less digits than its factorization.

22261360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22261360 is about 4718.1945699600. The cubic root of 22261360 is about 281.3091753675.

Adding to 22261360 its reverse (6316222), we get a palindrome (28577582).

The spelling of 22261360 in words is "twenty-two million, two hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 617 656 820 880 902 1234 1640 1804 2255 2468 3085 3280 3608 4510 4936 6170 6787 7216 9020 9872 12340 13574 18040 24680 25297 27148 33935 36080 49360 50594 54296 67870 101188 108592 126485 135740 202376 252970 271480 278267 404752 505940 542960 556534 1011880 1113068 1391335 2023760 2226136 2782670 4452272 5565340 11130680 22261360