Search a number
-
+
22252110 = 2353171337
BaseRepresentation
bin101010011100…
…0101001001110
31112212112011020
41110320221032
521144031420
62112535010
7360065646
oct124705116
945775136
1022252110
1111619381
127551466
1347c153a
142d53526
151e48340
hex1538a4e

22252110 has 64 divisors (see below), whose sum is σ = 56070144. Its totient is φ = 5644800.

The previous prime is 22252067. The next prime is 22252117. The reversal of 22252110 is 1125222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22252110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65862 + ... + 66198.

It is an arithmetic number, because the mean of its divisors is an integer number (876096).

Almost surely, 222252110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22252110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28035072).

22252110 is an abundant number, since it is smaller than the sum of its proper divisors (33818034).

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

22252110 is a wasteful number, since it uses less digits than its factorization.

22252110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 22252110 is about 4717.2142202787. The cubic root of 22252110 is about 281.2702069432.

Adding to 22252110 its reverse (1125222), we get a palindrome (23377332).

The spelling of 22252110 in words is "twenty-two million, two hundred fifty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 337 355 426 465 674 710 930 1011 1065 1685 2022 2130 2201 3370 4402 5055 6603 10110 10447 11005 13206 20894 22010 23927 31341 33015 47854 52235 62682 66030 71781 104470 119635 143562 156705 239270 313410 358905 717810 741737 1483474 2225211 3708685 4450422 7417370 11126055 22252110