Search a number
-
+
22542300 = 22345211223
BaseRepresentation
bin101010111111…
…1011111011100
31120102021020000
41111333133130
521232323200
62123054300
7362414664
oct125773734
946367200
1022542300
11117a7400
127671390
134893651
142dcb1a4
151ea4300
hex157f7dc

22542300 has 270 divisors, whose sum is σ = 83812344. Its totient is φ = 5227200.

The previous prime is 22542269. The next prime is 22542313. The reversal of 22542300 is 324522.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 980089 + ... + 980111.

Almost surely, 222542300 is an apocalyptic number.

22542300 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 22542300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41906172).

22542300 is an abundant number, since it is smaller than the sum of its proper divisors (61270044).

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

22542300 is a wasteful number, since it uses less digits than its factorization.

22542300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22542300 is about 4747.8732080796. The cubic root of 22542300 is about 282.4876126868.

Adding to 22542300 its reverse (324522), we get a palindrome (22866822).

It can be divided in two parts, 2254 and 2300, that added together give a palindrome (4554).

The spelling of 22542300 in words is "twenty-two million, five hundred forty-two thousand, three hundred".