Search a number
-
+
22542200 = 2352269419
BaseRepresentation
bin101010111111…
…1011101111000
31120102021002022
41111333131320
521232322300
62123054012
7362414462
oct125773570
946367068
1022542200
11117a731a
127671308
1348935a5
142dcb132
151ea4285
hex157f778

22542200 has 48 divisors (see below), whose sum is σ = 52731000. Its totient is φ = 8961920.

The previous prime is 22542199. The next prime is 22542203. The reversal of 22542200 is 224522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22542203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53591 + ... + 54009.

Almost surely, 222542200 is an apocalyptic number.

22542200 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 22542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26365500).

22542200 is an abundant number, since it is smaller than the sum of its proper divisors (30188800).

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

22542200 is a wasteful number, since it uses less digits than its factorization.

22542200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 22542200 is about 4747.8626770369. The cubic root of 22542200 is about 282.4871949713.

Adding to 22542200 its reverse (224522), we get a palindrome (22766722).

The spelling of 22542200 in words is "twenty-two million, five hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 419 538 838 1076 1345 1676 2095 2152 2690 3352 4190 5380 6725 8380 10475 10760 13450 16760 20950 26900 41900 53800 83800 112711 225422 450844 563555 901688 1127110 2254220 2817775 4508440 5635550 11271100 22542200