Search a number
-
+
22489920 = 2633519137
BaseRepresentation
bin101010111001…
…0101101000000
31120022121101000
41111302231000
521224134140
62122012000
7362106165
oct125625500
946277330
1022489920
1111771012
127647000
13487585b
142db606c
151e93a30
hex1572b40

22489920 has 224 divisors, whose sum is σ = 84124800. Its totient is φ = 5640192.

The previous prime is 22489871. The next prime is 22489921. The reversal of 22489920 is 2998422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22489921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164092 + ... + 164228.

Almost surely, 222489920 is an apocalyptic number.

22489920 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 22489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42062400).

22489920 is an abundant number, since it is smaller than the sum of its proper divisors (61634880).

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

22489920 is a wasteful number, since it uses less digits than its factorization.

22489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 22489920 is about 4742.3538459293. The cubic root of 22489920 is about 282.2686439530.

It can be divided in two parts, 22489 and 920, that added together give a square (23409 = 1532).

The spelling of 22489920 in words is "twenty-two million, four hundred eighty-nine thousand, nine hundred twenty".