Search a number
-
+
23220000 = 25335443
BaseRepresentation
bin101100010010…
…0111100100000
31121200200212000
41120210330200
521421020000
62145404000
7401236536
oct130447440
947620760
1023220000
111211a591
127939600
134a6cc5b
143126156
15208a000
hex1624f20

23220000 has 240 divisors, whose sum is σ = 86597280. Its totient is φ = 6048000.

The previous prime is 23219983. The next prime is 23220019. The reversal of 23220000 is 2232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539979 + ... + 540021.

It is an arithmetic number, because the mean of its divisors is an integer number (360822).

Almost surely, 223220000 is an apocalyptic number.

23220000 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 23220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43298640).

23220000 is an abundant number, since it is smaller than the sum of its proper divisors (63377280).

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

23220000 is an equidigital number, since it uses as much as digits as its factorization.

23220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23220000 is about 4818.7135212627. The cubic root of 23220000 is about 285.2905623917.

Adding to 23220000 its reverse (2232), we get a palindrome (23222232).

The spelling of 23220000 in words is "twenty-three million, two hundred twenty thousand".