Search a number
-
+
22252500 = 2232542343
BaseRepresentation
bin101010011100…
…0101111010100
31112212112200200
41110320233110
521144040000
62112540500
7360100044
oct124705724
945775620
1022252500
11116196a6
127551730
1347c177a
142d53724
151e48500
hex1538bd4

22252500 has 180 divisors, whose sum is σ = 75050976. Its totient is φ = 5544000.

The previous prime is 22252493. The next prime is 22252511. The reversal of 22252500 is 525222.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 517479 + ... + 517521.

Almost surely, 222252500 is an apocalyptic number.

22252500 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 22252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37525488).

22252500 is an abundant number, since it is smaller than the sum of its proper divisors (52798476).

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

22252500 is a wasteful number, since it uses less digits than its factorization.

22252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22252500 is about 4717.2555580549. The cubic root of 22252500 is about 281.2718501543.

Adding to 22252500 its reverse (525222), we get a palindrome (22777722).

The spelling of 22252500 in words is "twenty-two million, two hundred fifty-two thousand, five hundred".