Search a number
-
+
22295520 = 2533513397
BaseRepresentation
bin101010100001…
…1001111100000
31112221201201000
41111003033200
521201424040
62113512000
7360336342
oct125031740
945851630
1022295520
1111648a55
127572600
134808220
142d65292
151e56130
hex15433e0

22295520 has 192 divisors, whose sum is σ = 84248640. Its totient is φ = 5474304.

The previous prime is 22295509. The next prime is 22295549. The reversal of 22295520 is 2559222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 55962 + ... + 56358.

It is an arithmetic number, because the mean of its divisors is an integer number (438795).

Almost surely, 222295520 is an apocalyptic number.

22295520 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 22295520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42124320).

22295520 is an abundant number, since it is smaller than the sum of its proper divisors (61953120).

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

22295520 is a wasteful number, since it uses less digits than its factorization.

22295520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 22295520 is about 4721.8132110451. The cubic root of 22295520 is about 281.4529912343.

The spelling of 22295520 in words is "twenty-two million, two hundred ninety-five thousand, five hundred twenty".